Find an equation of the line that passes through the point and has the indicated slope m (Let x be the independent variable and y be the dependent variable.) (1,2): m = - 1/2

Q: Find the slope and y-intercept (if possible) of the equation of the line. (If an answer does not…

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Q: Find the equation of the line perpendicular to y = 3x + 4 with an x-intercept numerically equal to…

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Q: Find an equation of the line that satisfies the given conditions. y-intercept 1; parallel to the…

A: When two line are parallel to each other,then their slopes must be equal.

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

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Q: If R has coordinates (-5, 2) and S has coordinates (2, y), find y so that the slope of RS is . -6 7

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Q: b. Find the slope of the curve at the given point. y* = 2x; (648,6)

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Q: Slope of the line ar equation: 2x+4y=7 is:

A: The given equation is 2x+4y=7.

Q: Q2): Find the equation of the line passes through p(2,-4,5), normal to 971. x+8 = 2t, y-5= 3t, 1 -z…

A: Given problem:- Find the equation of the line passes through p(2,-4,5), normal to x + 8 = 2t, y - 5…

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: Find an equation of the line that passes through the point and has the indicated slope m. (Let x be…

A: We will find the equation of the line in the following step.

Q: Find the value of h,if the slopes of the line represented by 6x2+2hxy+y2=0 are in the ratio 1:2

A: First, we will writethe equation for pair of straight lines passing through origin.(y−m1 x)×(y−m2…

Q: Find the equation of the line that passes through the point (4, 3) and is perpendicular to 4x – 9y =…

A: Here we find the equation of line passes through (4,3) and is prependicular to 4x-9y=9.

Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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Q: Given the line 2x+4y = 10 (a) find the slope of the line. (b) if x decreases by 10, find the…

A: (a)

Q: Given the slope and y-intercept, wn 3. slope = 4. y-intercept = - 1 3. y = - 1 4 O3x + 4y = - 4 4x +…

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Q: Find the equation of the curve that passes through (- 2, – 30) if its slope is given by oy = 9x2 -…

A: The slope of the given curve is given as dydx=9x2-8x and point passes through is -2, -30. To find :…

Q: L (x, y) = 12 :45 10

A: The given contour diagram is:

Q: What is the correct equation for the point-slope formula? O y-y1 = m(x+ x1) Oy-y = m(x-x,) Oy+y =…

A: To find the point-slope formula of a line.

Q: If f(x) = 19x + 22, find the slope of the secant line between the values of xj = 9 and x2 = 3.

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Q: The slope of the curve y =x' + 3x² – 4x+5 at (1,5) is O a. 0 O b. 2 O c. 5 O d. 4

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Q: A straight line has the equation 4x-3y+12=0? what is the gradient of the line? b)find the…

A: Given: 4x-3y+12=0 we know that gradientm of the line is given by m=-coefficient of xcoefficient of y…

Q: Q1/a) Find the curve whose slope at the point (x,y) is 3x2 if the curve is also passes through the…

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Q: Find the slope of the curve x + y - 10y -3x +5 = 0 3-2x 2у-10 2x+3 10-2y 2x-3 10+2y 3+2x 2y+10 O…

A: We have to find slope

Q: The pollution level in the center of a city at 4am is 22 parts per million and it grows in linear…

A: (A) The pollution level in the center of a city at 4am is 22 parts per million. It grows in linear…

Q: Find an equation of the line that passes through the point and has the indicated slope m. (Let x be…

A: solution:-let x be the independent variable and y be the dependent variableslope, m=-72point (x1,…

Q: Solve this linearvequation for yvand then determine the slope (m) of the line 3x -2y= 6

A: given3x-2y=6

Q: Given x=t+1 and y=t2, find the slope of the associated graph at the point (2,1)

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Q: Find a value of x for which the slope of the curve y = x2 - 6x + 5 is zero. Select one: O a -1 O b.…

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Q: Find an equation of the line that satisfies the given conditions. y-intercept 1; parallel to the…

A: To find an equation of the line Given conditions : y-intercept - 1, parallel to the 5x+6y+7 = 0. Two…

Q: At what points on the curve x=3t^2 + 1, y=t^3 -1 does the ranger line have a slope 1/2?

A: The slope of the tangent line is given by, dydx=dydtdxdt=ddt3t2+1ddtt3-1=6t3t2=2t Given that the…

Q: At what point of the curve y = x3 + 3x are the values of y’ and y” equal?

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Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: Given that a line passes through (x1, y1) and has a slope m

Q: 3. Find the equation of a straight line L1 that is perpendicular to 6x + 2y + 43 = 0 and passes…

A: Slope-intercept form is given by: y = mx + c whre m is the slope, and C is the y-intercept.…

Q: Find the slope of the curve at the indicated point. y = x2 + 3x - 5, x = 2 O m = 7 O m = 2 m = 10…

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Q: find the x-intercept of the line by substituting 0 in for y and solving for x.   y=3x-12

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Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: We will derive this formula using the equation for the slope of a line. let us consider a line whose…

Q: These points are linear. Find the slope. X56 78 y0816 24 32 m = [?]

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Q: Find the y intercept of the line by substituting 0 in for x and solving for y. Y=-2X+12

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Q: Given x=t3 and y=t2-1, find the slope of the associated graph at the point (8,3).

A: Equation of the line which has slope m and passes through a point (x1,y1) is given as (y - y1) = m(x…

Q: Q1 Find the equation of the line passes through the point (5,2) and normal to the line that has the…

A: Given: The equation of line y = 2x+4. To find: The equation of line that passes through the point…

Q: B. Find the slope of the curve at the given point. x = - u+3 X = - u2-9 u-3

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Q: XY has an equation of 4x+2y 10. What is the slope of a line that is perpendicular to XY?

A: XY↔ has an equation of 4x+2y=10. Here, we need to find the slope of a line that is perpendicular to…

Q: In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = 3x* – 8x +…

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Q: Find the y-intercept of the line by substituting 0 in for x and solving for y -4x-2y=4

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Q: nd the equation of the line perpendicular to y = 3x + 4 with an x-intercept numerically equal to its…

A: Given Equation of line y= 3x+4

Q: If it is known that the association between the variables is linear with r = 0.95, sx = 7.8, sy =…

A: We have given that  r = 0.95, sx = 7.8, sy = 9.8 Formula used  b= r.sx/sy

Q: Myron records the number of chirps per minute (x) that crickets make at different temperatures. (y)…

A: Topic - equation of straight line

Q: a) Find the equation of the straight line (y=mx+c) satisfying the given conditions:      i) Passes…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.