xx intercept
When a point is on the xx axis, we know its yy value is 0. This means we can make the equation equal to 0 to find xx.
0 = -2x -30=−2x−3
3 = -2x3=−2x (add 3 to both sides)
3/2 = -x32=−x (divide by 2 on both sides)
-3/2 = x−32=x (times both sides by -1)
This means x = -3/2x=−32 or x = -1.5x=−1.5 So our xx intercept is at the coordinate (-1.5, 0)(−1.5,0)
yy intercept
On the yy axis we know the xx value is equal to 0, so we can substitute this into the equation to find the yy value.
y = -2(0) - 3y=−2(0)−3
y = -3y=−3 (remove anything multiplied by 0)
So we now know our yy intercept is at (0,-3)(0,−3)
So the important points are (-1.5, 0)(−1.5,0) and (0, -3)(0,−3)
