Mathematics: Can someone help me my brain hurts

the answer is indeed cStep-by-step explanation:...

Can someone help me my brain hurts - id9645902, nicktroutt27

auntlynard1843

12.02.2022

The correct answer is: Option 2

$y+1 = \frac{8}{9}(x+4)$

Step-by-step explanation:

Point-slope form of an equation is given by:

y-y_1= m(x-x_1)

Here m is the slope of the line and (x1,y1) is the point from which the line passes

Given points are:

(-4,-1) and( 5,7)

Slope is given by the formula:

$m = \frac{y_2-y_1}{x_2-x_1}\\m=\frac{7-(-1)}{5-(-4)}\\m = \frac{7+1}{5+4}\\m = \frac{8}{9}$

Now we will put the first point and slope in general form of equation of line

$y-(-1) = \frac{8}{9}(x-(-4))\\y+1 = \frac{8}{9}(x+4)$

Hence,

The correct answer is: Option 2

$y+1 = \frac{8}{9}(x+4)$

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