Question

graph the linear equation.
$y = -\frac{3}{2}x+3$
use the graphing tool to graph the linear equation.
click to enlarge graph

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=3$. So the y-intercept is the point $(0, 3)$.

Step2: Identify slope

The slope $m=-\frac{3}{2}$, meaning for every 2 units right ($+2$ in $x$), $y$ decreases by 3 ($-3$ in $y$). From $(0,3)$, this gives a second point $(0+2, 3-3)=(2, 0)$.

Step3: Plot and connect points

Plot the points $(0, 3)$ and $(2, 0)$, then draw a straight line through them.

Answer:

The line passes through the points $(0, 3)$ and $(2, 0)$, with a slope of $-\frac{3}{2}$. A straight line connecting these two points is the graph of $y=-\frac{3}{2}x+3$.