Question

What is the point slope form of the line with slope 25 that passes through the point (−4, −7)?

Answer 1

Answer:

Option A: $y+7 = 25(x+4)$ is the correct answer.

Step-by-step explanation:

The point-slope form of an equation of a line is given by:

$y-y_1 = m(x-x_1)$

Here:

m is the slope of the line

$(x_1,y_1)$ are the coordinates of the point from which the line passes.

Now looking at the given question:

$m = 25\\(x_1,y_1) = (-4,-7)$

Putting the values in the general form of point-slope form of equation of line

$y-(-7) = 25\{x-(-4)\}\\y+7 = 25(x+4)$

Hence, the point-slope form of given line is:

$y+7 = 25(x+4)$

Observing the option given, it can be concluded that Option A: $y+7 = 25(x+4)$ is the correct answer.