Answer
x-intercept: $(4, 0)$
y-intercept: $(0, \frac{16}{3})$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$4x+3y=16
\\4x+3(0)=16
\\4x+0=16
\\4x=16
\\\frac{4x}{4}=\frac{16}{4}
\\x=4$
Thus, the x-intercept is $(4, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$4x+3y=16
\\4(0)+3y=16
\\0+3y=16
\\3y=16
\\\frac{3y}{3}=\frac{16}{3}
\\y=\frac{16}{3}\approx 5.33$
Thus, the y-intercept is $(0, \frac{16}{3})$.
Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
