Mathematics: What is the equation of the following line written in slope-intercept form? a.) y =3/2 x -13/3 b.) y =2/3 x -13/3 c.) y =-2/3x - 13/3

Well nine times 199 is 1,791but im not sure if thats what its asking...

What is the equation of the following line written

dozsyerra

16.01.2022

WE use given graph to find equation of the line

one point on the graph is (-5,-1)

other point on the graph is (-2,-3)

We need to frame equation y =mx+b

Lets find slope using (-5,-1) and (-2,3)

$slope m = \frac{y^2-y_1}{x_2-x_1} = \frac{-3-(-1)}{-2-(-5)} =\frac{-2}{3}$

Now we find y intercept b using (-5,-1)

y=mx+b

$-1= \frac{-2}{3}(-5) + b$

$-1= \frac{10}{3}+b$

Subtract 10/3 on both sides

$-1 - \frac{10}{3}=b$

$\frac{-13}{3}=b$

So equation of the line is $y=\frac{-2}{3}x-\frac{13}{3}$

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