Answer
Refer to the graph below.
Work Step by Step
RECALL:
The equation $y=mx+b$ has a slope of $m$ and a y-intercept of $(0, b)$.
Thus, the equation $y=3x+4$ has a y-intercept of $(0, 4)$.
To find the -intercept, set $y=0$ then solve for $x$ to obtain:
$y=3x+4
\\0=3x+4
\\0-4=3x
\\-4=3x
\\\frac{-4}{3}=\frac{3x}{3}
\\\frac{-4}{3}=x$
The x-intercept is $(-\frac{4}{3}, 0)$.
Use a graphing calculator to plot the intercepts and connect a them using a line.
(Refer to the graph in the answer part above.)
