Question

The skate park will also have an angled grind rail. A drafter is drawing thegrind rail on a coordinate plane.1. What is the slope and y-intercept of linen?2. Write the equation of line n in slope-intercept form. (y=mx+b)

Answer 1

First, notice that the line crosses the y-axis at the point (0,2), then, the y-intercept is:

`b=2`

now, given the points (-8,1) and (8,3), we can find the slope with the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

in this case, we have the following:

`\begin{gathered} (x_1,y_1)=(-8,1) \\ (x_2,y_2)=(8,3) \\ \Rightarrow m=(3-1)/(8-(-8))=(2)/(8+8)=(2)/(16)=(1)/(8) \\ m=(1)/(8) \end{gathered}`

therefor, the slope is m = 1/8 and the y-intercept is b = 2

The equation in slope-intercept form is:

`y=(1)/(8)x+2`