Question

Find the point-slope equation for

the line that passes through the
points (3,27) and (-8,-61). Use
the first point in your equation.
y+[? ]= [ ](x +
1)

Answer 1

y -27 = 8(x -3)

Explanation:

The slope can be computed from the difference in y-values and the difference in x-values:

m = (change in y)/(change in x) = (-61-27)/(-8-3) = -88/-11 = 8

The point-slope equation is ...

y -k = m(x -h) . . . . . . for slope m through point (h, k)

Using the calculated slope and the first point, the equation is ...

y -27 = 8(x -3)