Question

A line passes through the point (-4,9) and has a slope of

4.
Write an equation in point-slope form for this line.

Answer 1

y = 4x - 7

Explanation:

Given the following data;

Points (x, y) = (4, 9)

Slope, m = 4

To write the equation in point-slope form;

The equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

First of all, we would find the intercept c;

9 = 4*4 + c

9 = 16 + c

c = 9 - 16

c = -7

Next, we write the equation in point-slope form;

m = 4 and c = -7

y = 4x - 7