A curve on the ry-plane passes through the point (0, a) for some number a, and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find the equation of the curve.

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: Find the equation of line that passes through the point (-7,-8) and perpendicular to the line meetin…

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Q: Find the midpoint of points A(-8,2)and B(-5,-5) graphically.

A: Explanation: Plot the points A and B on the graph. Then draw a horizontal line from A and Vertical…

Q: Find the slope of equation at the given point

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Q: Determine the equation of the line L which passes through the points A = (8, 11) and B = (12, 17)

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Q: The graph of the line y=1/3x+1 intersects a second line at a right angle . If the y intersect of the…

A: the given line equation y=1/3x+1   .......(1) compare this line with standard form y = mx  +c m =…

Q: reflect the point (2, -4) over the y-axis

A: If we reflect a point over the y-axis then the formula is: (x, y)→(-x, y) Here x=2 and y=-4