Question

What is the equation of this graphed line?

Answer 1

The and would be y=-1/3x-5 because to find slope you would use the equation y2-y1 divided by x2-x1 and find the slope of -4/12 which simplifies to -1/3 and the y-int is -5 so you would just plug that in.

Answer 2

Answer:

$y=-\frac{1}{3}x-5$

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

$A(-6,-3)\ B(6,-7)$

Substitute the values

$m=\frac{-7+3}{6+6}$

$m=\frac{-4}{12}=-\frac{1}{3}$

step 2

we know that

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

$y=mx+b$

we have

$m=-\frac{1}{3}$

$B(6,-7)$

substitute and solve for b

$y=mx+b$ ------> $-7=-\frac{1}{3}*6+b$

$-7=-2+b$

$b=-5$

The equation of the line is equal to

$y=-\frac{1}{3}x-5$