Question

use technology to find points and then graph the line $y = -\frac{3}{2}x - 4$, following the instructions below.
done plotting points
plot at least two points with integer coordinates that fit on the axes below. click a point to delete it.

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y = -\frac{3}{2}x - 4$:
$y = -\frac{3}{2}(0) - 4 = -4$
Point: $(0, -4)$

Step2: Find x-intercept (y=0)

Set $y=0$, solve for $x$:
$0 = -\frac{3}{2}x - 4$
$\frac{3}{2}x = -4$
$x = -4 \times \frac{2}{3} = -\frac{8}{3}$ (not integer, pick integer x)

Step3: Pick integer x=2

Substitute $x=2$:
$y = -\frac{3}{2}(2) - 4 = -3 - 4 = -7$
Point: $(2, -7)$

Step4: Pick integer x=-2

Substitute $x=-2$:
$y = -\frac{3}{2}(-2) - 4 = 3 - 4 = -1$
Point: $(-2, -1)$

Answer:

Plot the points $(0, -4)$ and $(-2, -1)$ (or $(2, -7)$), then draw a straight line through them to graph $y = -\frac{3}{2}x - 4$.