Question

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

Answer 1

Answer:

The slope is 3

y-intercept is -16

Step-by-step explanation:

Let's start by using the slope formula, $m=\frac{y2-y1}{x2-x1}$

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

$m\frac{5-2}{7-6}$   this simplifies to $\frac{3}{1}$  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