Exercise 75 Page 340

Using the given point and slope, we can apply the point-slope form to write the equation. An equation in point-slope form follows a specific format. y- y_1= m(x- x_1) In this format, m represents the slope and the point ( x_1, y_1) lies on the graph of the line. We are given the point ( 1, -2) and the slope m = 4, so we have everything we need to create a point-slope form equation.

y-y_1=m(x-x_1)

SubstituteIII

Substitute x_1= 1,y_1= -2,m= 4

y-( -2)= 4(x- 1)

NegNeg

- (- a)=a

y+2 = 4(x-1)