Question

Write the equation of the line that passes through the points (9, -4) and (2, -2).

Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.

Answer 1

y +2 = -2/7(x -2)

Explanation:

You want the point-slope equation of the line through (9, -4) and (2, -2).

Slope

The slope is given by ...

m = (y2 -y1)/(x2 -x1)

m = (-2 -(-4))/(2 -9) = 2/-7 = -2/7

Point-slope equation

The point-slope equation of a line with slope m through point (h, k) is ...

y -k = m(x -h)

Using the second point with the found slope, the equation is ...

y +2 = -2/7(x -2)