Question

Write the equation of the line in slope intercept form. Slope = 1/4 through (12,-3)

Answer 1

The slope intercept form is

$y=mx+b$

Where

b is the y-coordinate of the y-intercept

m is the slope of the line

To determine the equation given that we know the slope and one point of the line you have to use the point slope form

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

m=1/4, and point (12,-3)

$\begin{gathered} y-(-3)=\frac{1}{4}(x-12) \\ y+3=\frac{1}{4}x-3 \\ y=\frac{1}{4}x-3-3 \\ y=\frac{1}{4}x-6 \end{gathered}$

The equation of the line with slope 1/4 that crosses the point (12,-3) in slope intercept form is:

$y=\frac{1}{4}x-6$