Question

alloo Aciditional Practice 2.1.AP-1 Graph the equation. y = 4x + 2 Use the graphing tool to graph the line.

Answer 1

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

`y=mx+b`

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

Given this equation:

`y=4x+2`

You can see that:

`\begin{gathered} m=4 \\ b=2 \end{gathered}`

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

`(0,2)`

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:

`\begin{gathered} 0=4x+2 \\ -2=4x \\ (-2)/(4)=x \\ x=-(1)/(2) \\ x=-0.5 \end{gathered}`

So you also have this point:

`(-0.5,0)`

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