Question

Graph the line with the given point and slope. the line that passes (2,-2) with slope 1/4

Answer 1

Point-slope equation of a line:

$y - yo = m(x - xo)$
Where m is the slope (1/4) and (xo,yo)=(2,-2)

$y + 2 = \frac{1}{4} (x - 2)$
$y + 2 = \frac{1}{4} x - \frac{1}{2}$
$y = \frac{1}{4} x - \frac{5}{2}$
The y-intercept is -5/2, the graph is shown in the photo.