Question

A line passes through (–2, –3) and has a slope of

−
3
4
. Which is an equation of the line?

Answer 1

y = 3x + 3

Explanation:

Given parameters;

Coordinates of the line;

(-2, -3)

Slope of the line = 3

Unknown:

Equation of the line = ?

Solution:

The equation of any straight line is often expressed as;

y = mx + c

y and x are the coordinates

c is the intercept

Now insert values of y, x and m to find c;

-3 = 3(-2) + c

-3 = -6 + c

c = -3 + 6 = 3

The equation of the line is;

y = 3x + 3