Question

What is the equation on point slope form of a line that passes through the point -4, - 1 and 5, 7​

Answer 1

Answer:

The equation of the line is c)  $( y+1) =  \frac{8}{9} ( x+4)$

Step-by-step explanation:

Here, the two points are (x1, y1) = (-4,-1)  and (x2, y2)= (5,7)

So, the slope of the line joining two points  $m = \frac{y_2 - y_1}{x_2 - x_1}$

Here, $m = \frac{7 - (-1)}{5 - (-4)}  = \frac{8}{9}$

Also, by POINT SLOPE formula line equation is:

(y - y0) = m (x - x0) ; here  m = slope and (x0, y0) is a point on line

So, here the  equation of line is:

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

Hence,the equation of the line is c)  $( y+1) =  \frac{8}{9} ( x+4)$