Question

What is the slope-intercept equation of the line below

Answer 1

The slope is answer choice A :
`(-5)/(4)` + 3

Explanation:

When you plot the points on the graph you see that you have one point at (0,3) and a second at (4, -2). When you see this you can remember that the equation to finding slope is:

`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

So once we know this we can easily subtract 3 from -2 and 0 from 4 to get the slope of
`(-5)/(4)`. And the y intercept of 3 is already given to us.

Answer 2

A. y = -5/4x + 3

Explanation:

Step 1: Find coordinates

(0, 3)

(4, -2)

Step 2: Find slope

m = (-2 - 3)/(4 - 0)

m = -5/4

y = -5/4x + b

Step 3: Rewrite equation (we already found y-int)

y = -5/4x + 3