Answer:
(y-24)=-7(x+4)
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{24--53}{-4-7}=\frac{24+53}{-4+-7}=\frac{77}{-11}=\frac{-7}{1}=-7[/tex]
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-24)=-7(x--4)
(y-24)=-7(x+4)
