if a line passes through (0,-6) and has a slope of -3, what is an equation for the line?

Answer 1

Hi Abbie,

The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.

Firstly, let's assess what know and what we don't:

Given the point (0,-6), we know that x=0 and y=-6. We also know slope is -3 (or -3/1). All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.

y=mx+b

-6=-3(0)+b

-6=0+b

-6=b

Now that we have b, we can write the equation:

y=-3x-6