Graph this line by using its slope and y-intercept.

The equation is already given to us in slope-intercept form. We can tell at a glance that the y-intercept is -2 and the slope is . We can also tell that you've been working out lately. Good on you.

Plot the point (0, -2), and then use the slope to find another point. The rise is 2, the run is 1, and one of those is negative. So, move 1 unit up and 2 units to the left and plot that point. You can also move 1 unit down and 2 units to the right. Or do both if you’re feeling particularly Shmoopy.

Graph this line by using its slope and y-intercept.

-3x + y = 2

First things first, we need the equation in slope-intercept form. Add 3x to both sides and the first thing is done.

y = 3x + 2

Second things second, now we know that m = 3 and b = 2.

Third things third, our slope gives us a rise of 3 units up and 1 unit to the right. That gives a point on the line of (0 + 1, 2 + 3) = (1, 5).

Write the equation of the line for this graph.

To write an equation in slope-intercept form, we need the slope and the y-intercept. Just like it says in the name.

y = mx + b

The line passes through the origin, (0, 0), so that's the y-intercept. The line also passes through the point (1, 3). This is enough to calculate the slope.

Put it all together and get:

y = 3x + 0

y = 3x