Question

Can someone help me my brain hurts​

Answer 1

The correct answer is: Option 2

`y+1 = (8)/(9)(x+4)`

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 = (y_2-y_1)/(x_2-x_1)\\m=(7-(-1))/(5-(-4))\\m = (7+1)/(5+4)\\m = (8)/(9)`

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

`y-(-1) = (8)/(9)(x-(-4))\\y+1 = (8)/(9)(x+4)`

Hence,

The correct answer is: Option 2

`y+1 = (8)/(9)(x+4)`