Respuesta :

Answer:

The slope is 3

y-intercept is -16

Step-by-step explanation:

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

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

[tex]m\frac{5-2}{7-6}[/tex]   this simplifies to [tex]\frac{3}{1}[/tex]  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