Question

Write an equation in slope-intercept form with the following information. Goes through the points (6, 2) and (7, 5).

Slope= _____ y-intercept=_____

Answer 1

The slope is 3

y-intercept is -16

Explanation:

Let's start by using the slope formula,
`m=(y2-y1)/(x2-x1)`

plug in the points for the relating x and y and solve,

`m(5-2)/(7-6)` this simplifies to
`(3)/(1)` or "3"

we have our slope: 3/1 or "3"

the equation needed to find the y-intercept is y=mx+b

We will need to solve for "b" to figure out the y-intercept.

let's plug in any pair of x and y, i'll just choose (6,2)

2=3(6)+b, 2=18+b, 2-18=18-18+b, -16=b

Y-intercept is -16