Suggested languages for you:

Americas

Europe

Q2.

Expert-verifiedFound in: Page 205

Book edition
Student Edition

Author(s)
Carter, Cuevas, Day, Holiday, Luchin

Pages
801 pages

ISBN
9780078884801

**Graph each equation.**

**$y=x+2$**

The graph of the equation $y=x+2$** **is:

To find the *x*-intercept, substitute 0 for *y* and find the value of *x*.

$y=x+2\phantom{\rule{0ex}{0ex}}0=x+2\phantom{\rule{0ex}{0ex}}-2=x$

Therefore, the *x*-intercept is $-2$.

As, the *x*-intercept is $-2$ that means the graph of $y=x+2$ will intersect the *x*-axis at $\left(-2,0\right)$.To find the y-intercept, substitute 0 for *x* and find the value of *y*.

$y=x+2\phantom{\rule{0ex}{0ex}}y=0+2\phantom{\rule{0ex}{0ex}}y=2$

Therefore, the *y*-intercept is 2.

As, the *y*-intercept is 2 that means the graph of $y=x+2$ will intersect the *y*-axis at $\left(0,2\right)$.

Draw the graph of the equation $y=x+2$ by using the information that the graph of the equation $y=x+2$ is a line passing through the points $\left(-2,0\right)$ and $\left(0,2\right)$.

Therefore, the graph of the equation $y=x+2$ is:

94% of StudySmarter users get better grades.

Sign up for free