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)=(1)/(4)(x-12) \\ y+3=(1)/(4)x-3 \\ y=(1)/(4)x-3-3 \\ y=(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=(1)/(4)x-6`