How do you find slope and intercepts to graph #y=-2/3x - 1#?
This equation is written in slope-intercept form, which is
In order to find the intercepts, all you have to do is set the according variable equal to 0. For lines given in slope-intercept, this step is not needed, since the y-intercept is explicitly stated, but it is important to understand why that point is chosen.
For y-intercepts, the x-value is equal to 0, since we are trying to find the point at which the line crosses the y-axis.
For x-intercepts, the y-value is equal to 0, since we are trying to find the point at which the line crosses the x-axis. X-intercepts are a bit trickier, because you have to set the whole equation equal to 0 (since y = 0), and solve for x.
I found the x-int by doing the following:
I set y equal to 0:
I added both sides by 1:
I multiplied both sides by the reciprocal of -2/3, which is -3/2: