Answer
x-intercept: $(21, 0)$
y-intercept: $(0, 30)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$10x+7y=210
\\10x+7(0)=210
\\10x+0=210
\\10x=210
\\\frac{10x}{10}=\frac{210}{10}
\\x=21$
Thus, the x-intercept is $(21, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$10x+7y=210
\\10(0)+7y=210
\\0+7y=210
\\7y=210
\\\frac{7y}{7}=\frac{210}{7}
\\y=30$
Thus, the y-intercept is $(0, 30)$.
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.
