Question

Find the value of x or y for which the line through A and B has the given slope m.

A(-2,3), B(4,y), m=-2/3

Answer 1

Label the coordinates of A \((x_1, y_1)\) and the coordinates of B \((x_2, y_2)\). In this case we have \(x_1 =-2\), \(y_1 = 3\), \(x_2 = 4\), and you are trying to solve for \(y_2\). Slope is calculated using\[m=\frac{ y_2-y_1 }{ x_2-x_1 }\]Substitute in the known values and solve for \(y_2\)

Answer 2

what exactly do i plug in?

Answer 3

The values of m, x1, y1, and x2. Everything is given except for y2 which you are to find.