Question

Complete the point-slope equation of the line through (-5,4) and (1,6). Use exact numbers.

Answer 1

ANSWER

$y - 6 = \frac{2}{7} (x - 1)$

EXPLANATION

The point-slope equation of a straight line is given by:

$y-y_1=m(x-x_1)$

Where m is the slope.

The line goes through (-5,4) and (1,6).

The slope of this line is,

$m = \frac{6 - 4}{1 - - 6}$

$m = \frac{2}{7}$

The point-slope equation is

$y - 6 = \frac{2}{7} (x - 1)$