Question

Type an equation for the line shown in the graph

Answer 1

Answer: y=
`(3)/(2)`x-4

Explanation:

y=mx+b

Slope: (2,-1) and (4,2)

Slope=3/2

Plug in values of one point for x and y- you can use (4,2) for example).

2=1.5(4)+b

2=6+b

-4=b

y=
`(3)/(2)`x-4

Answer 2

y = 3/2x - 4

Explanation:

The slope intercept form is y = mx + b

m = the slope

b = y-intercept.

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (0, -4) (4,2)

We see the y increase by 6 and the x increase by 4, so the slope is

m = 6/4 = 3/2

Y-intercept is located at (0,-4)

So, the equation is y = 3/2x - 4