Question

At each point (x,y) on the curve the slope equals the square of the distance between the point and the y-axis; the point (-1, 2) is on the curve. Find the equation of the function.

Answer 1

Answer:

y=x+3

Explanation:

Distance between point and y-axis at (-1,2) = 1 (drawing this out might help you see this)

Slope at point (-1,2) = (1)^2 = 1

Equation of function: y-y1=m(x-x1), substitute (-1,2) into x1 and y1, slope/m=1

y-2=1(x-(-1))

y=x+3