Answer:
Slope-intercept form: y = 3x - 1
Explanation:
We are given that a line passes through the point (-5, -16) and has a slope of 3
We want to write the equation in point-slope form, and simplify it to slope-intercept form (if it is possible to do so).
First, point-slope form is given as
, where m is the slope and
is a point
We have both the slope and a point, but let's label the values of everything to avoid confusion + mistakes:
m = 3

Now substitute into the formula (remember: we have NEGATIVE numbers, and the formula uses SUBTRACTION):

The equation can be simplified

We can also write this in slope-intercept form
Start by distributing 3 to both x and 5 (multiply both x and 5 by 3)

Subtract 16 from both sides
y = 3x - 1