Question

A line passes through (–2, –3) and has a slope of
−
3
4
. Which is an equation of the line?

Answer 1

Answer:

 y  = 3x + 3

Step-by-step 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