Question

15 points!

Answer 1

Answer:

$y=2x+2$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$A(-4,-6)\ B(2,6)$

Substitute the values

$m=\frac{6+6}{2+4}$

$m=\frac{12}{6}=2$

step 2

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

we have

$m=2$

$B(2,6)$

substitute and solve for b

$y=mx+b$ ------> $6=(2*2)+b$

$6=4+b$

$b=2$

The equation of the line is equal to

$y=2x+2$

Answer 2

Y2 - y1              (-4,-6)    (2,6)
______              x1 y1    x2 y2

x2 - x1    



6,-(-6)
______

2, -(-4)

12/6 = 2
                                       
Finding the slope            
__________________________________

 mx + b

 2x + 2
would be the answer