Suggested languages for you:

Americas

Europe

Q6.

Expert-verifiedFound in: Page 205

Book edition
Student Edition

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

Pages
801 pages

ISBN
9780078884801

**Solve each equation by graphing.**

**$4x+2=0$**

The solution of the equation $4x+2=0$** **is $x=\frac{-1}{2}$**.**

Substitute 0 for *x* and find the value of *y*.

$y=4x+2\phantom{\rule{0ex}{0ex}}=4\left(0\right)+2\phantom{\rule{0ex}{0ex}}=0+2\phantom{\rule{0ex}{0ex}}=2$

Therefore, one of the point that satisfies the equation $y=4x+2$ is $\left(0,2\right)$

Substitute $-1$ for *x* and find the value of *y*.

$y=4x+2\phantom{\rule{0ex}{0ex}}=4\left(-1\right)+2\phantom{\rule{0ex}{0ex}}=-4+2\phantom{\rule{0ex}{0ex}}=-2$

Therefore, the other point that satisfies the equation $y=4x+2$ is $\left(-1,-2\right)$

Draw the graph of the equation $y=4x+2$ by using the information that the graph of the equation $y=4x+2$ is a line passing through the points $\left(0,2\right)$ and $\left(-1,-2\right)$.

Therefore, the graph of the equation $y=4x+2$ is:

The solution of the equation $4x+2=0$ by graphing can be obtained by finding the value of *x* where the graph of $y=4x+2$ intersects the *x*-axis.

From the graph of $y=4x+2$, it can be noticed that the graph of $y=4x+2$ intersects the *x*-axis at the point $\left(\frac{-1}{2},0\right)$.

Therefore, the solution of the given equation $y=4x+2$ is $x=\frac{-1}{2}$.

94% of StudySmarter users get better grades.

Sign up for free