Answer:
The correct answer is: Option 2
[tex]y+1 = \frac{8}{9}(x+4)[/tex]
Step-by-step explanation:
Point-slope form of an equation is given by:
[tex]y-y_1= m(x-x_1)[/tex]
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:
[tex]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}[/tex]
Now we will put the first point and slope in general form of equation of line
[tex]y-(-1) = \frac{8}{9}(x-(-4))\\y+1 = \frac{8}{9}(x+4)[/tex]
Hence,
The correct answer is: Option 2
[tex]y+1 = \frac{8}{9}(x+4)[/tex]
