Question

Write the equation of the line, given the y- and x-intercepts.

Answer 1

The formula would be:
y = mx + b

Now, let's look at the information we know. 
m = slope 
b = y-intercept
y-intercept = -6
x-intercept = -2

First, we would need to determine the slope. The formula for slope is m = $\frac{ y_{2} - y_{1} } { x_{2} - x_{1} }$

Plug your coordinates in and solve it. 
$\frac{0 + 6}{-2 - 0}$ = 6/-2 = -3

Now, since we have the slope and y-intercept, we are ready to plug them into the formula. 
y = -3x - 6

I hope this helps!

Answer 2

You can easily find the slope of the line from these 2 intercepts / points.
                         0-[-6]
m = rise/run = ------------ = 6/2 = 3 = m
                          -2-0
Now stick values into the point-slope formula as follows:


                      y-(-6) = 3(x-0), or y + 6 = 3x, or y = 3x - 6 (answer)