Question

Find the equation of the line whose slope is -3 and which passes through the point (-5, 3).

Answer 1

y= -3x-12

Explanation:

The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

Given that the slope is -3, m= -3.

Substitute the value of m into the equation.

y= -3x +c

Now, substitute the given coordinates into the equation.

When x= -5, y= 3,

3= -3(-5) +c

3= 15 +c

c= 3 -15

c= -12

Hence, the equation of the line is y= -3x-12