## The problem

Click to see the original problem

what is the linear equation of a line with a slope of 3 that goes through the point -4,-3. Not sure how to put in a usable equation to get the right answer. what should I do?

## Answer provided by our tutors

The slope intercept equation of a line is:

y = mx + b

The slope is given in the text for the problem:

m = 3

This means that the equation is:

y = 3x + b

Next, we need to find 'b' using the fact that the line goes through the point (-4, -3).

This means that when 'x = -4' then 'y = -3'. We plug these values to find 'b':

-3 = 3*(-4) + b

........

Click here to see the step by step solution for 'b'

........

b = 9

The equation of the line is:

y = 3x + 9