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Expert-verified Found in: Page 40 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # For the line $2x+3y=6$, the $x-$intercept is _____ and the $y-$intercept is _______.

The intercept is given below:

$x-$intercept: $\left(3, 0\right)$

$y-$intercept: $\left(0, 2\right)$

See the step by step solution

## Step 1. Given information.

We have:

$2x+3y=6$

## Step 2. Find intercepts.

$x-$intercept: It is point where $y=0$.

role="math" localid="1645792645850" $2x+3\left(0\right)=6\phantom{\rule{0ex}{0ex}}2x=6\phantom{\rule{0ex}{0ex}}x=\frac{6}{2}\phantom{\rule{0ex}{0ex}}x=3$

$\mathrm{X} \mathrm{Intercepts}: \left(3, 0\right)$

$y-$intercept: It is point where $x=0.$

$2\left(0\right)+3y=6\phantom{\rule{0ex}{0ex}}3y=6\phantom{\rule{0ex}{0ex}}y=\frac{6}{3}\phantom{\rule{0ex}{0ex}}y=2$

$\mathrm{Y} \mathrm{Intercepts}: \left(0, 2\right)$ ### Want to see more solutions like these? 