Answer :

The equation of a line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" is the y-intercept.

Given this equation:

[tex]y=4x+2[/tex]

You can see that:

[tex]\begin{gathered} m=4 \\ b=2 \end{gathered}[/tex]

Since "x" is zero when the line cuts the y-axis, you have this point:

[tex](0,2)[/tex]

The value of "y" is zero when the line cuts the x-axis, so you must substitute that value into the equation and solve for "x" in order to find the x-intercept:

[tex]\begin{gathered} 0=4x+2 \\ -2=4x \\ \frac{-2}{4}=x \\ x=-\frac{1}{2} \\ x=-0.5 \end{gathered}[/tex]

So you also have this point:

[tex](-0.5,0)[/tex]

Plot the points on the Coordinate plane and graph the line:

Thanks for taking the time to read Additional Practice 2 1 AP 1 Graph the equation y 4x 2 Use the graphing tool to graph the line. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada