Answer :
Answer:
Option A: [tex]y+7 = 25(x+4)[/tex] is the correct answer.
Step-by-step explanation:
The point-slope form of an equation of a line is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
Here:
m is the slope of the line
[tex](x_1,y_1)[/tex] are the coordinates of the point from which the line passes.
Now looking at the given question:
[tex]m = 25\\(x_1,y_1) = (-4,-7)[/tex]
Putting the values in the general form of point-slope form of equation of line
[tex]y-(-7) = 25\{x-(-4)\}\\y+7 = 25(x+4)[/tex]
Hence, the point-slope form of given line is:
[tex]y+7 = 25(x+4)[/tex]
Observing the option given, it can be concluded that Option A: [tex]y+7 = 25(x+4)[/tex] is the correct answer.