Question

From the graph, write the linear equation in slope-intercept form

Answer 1

y=
`(2)/(5)`(x)+2

Explanation:

First take two points from the line (x-int (-5,0) and y-int (0,2)). Once you get that you want to find the slope using the formula
`(Y_(2) -Y_(1) )/(X_(2)- x_(1) )`. Substitute the values and find the slope. Once you find the slope (m) to be
`(2)/(5)`, take any of the two points and apply it to the slope intercept formula (y=mx+b) to find b. I took the point (0,2) and applied it to the formula. It should look like 2=
`(2)/(5)`(0)+b. Solve for b by multiplying 2/5 by zero and your left with 2=b. Plugin the missing varibles for the equation and it should come out to be y=
`(2)/(5)`(x)+2.