Question

I need the slope-intercept form equation for the line shown in the graph

Answer 1

Answer: y=-8/5x+2

Explanation:

The equation for slope-intercept form is y=mx+b. We know that m is the slope and b is the y-intercept. We can determine that b=2 because the y-intercept passes through the y-axis. This line passes through the y-axis at y=2. Now, all we have to do is find the slope. We can do that by using any two points on the graph. Let's use (-5,10) and (5,-6). The formula for slope is
`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`.

`m=(-6-10)/(5-(-5)) =(-16)/(10) =-(8)/(5)`

With our slope, we can piece together the slope-intercept form equation.

y=-8/5x+2