## Precalculus (6th Edition)

RECALL: The equation $y=mx+b$ has a slope of $m$ and a y-intercept of $(0, b)$. Thus, the equation $y=-2x+3$ has a y-intercept of $(0, 3)$. To find the x-intercept, set $y=0$ then solve for $x$ to obtain: $y=-2x+3 \\0=-2x+3 \\0+2x=-2x+3+2x \\2x=3 \\\frac{2x}{2}=\frac{3}{2} \\x=1.5$ The x-intercept is $(1,5, 0)$. Use a graphing calculator to plot the intercepts and connect a them using a line. (Refer to the graph in the answer part above.)