Exercise 26 Page 194

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 ( -2, -6) and the slope 23, so we have everything we need to create a point-slope form equation.

y-y_1=m(x-x_1)

SubstituteValues

Substitute values

y-( -6)= 2/3(x-( -2))

SubNeg

a-(- b)=a+b

y+6=2/3(x+2)