Question

Please help it’s my homework. You have to graph the line.

Answer 1

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

`y=mx+b`

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

You have this equation:

`2x+y=8`

Solve for "y" in order to write it in Slope-Intercept form:

`y=-2x+8`

You can see that the y-intercept is:

`b=8`

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

`(0,8)`

You know that "y" is zero when the line cuts the x-axis. So to find the x-intercept, substitute that value of "y" into the equation and solve for "x":

`\begin{gathered} 0=-2x+8 \\ (-8)/(-2)=x \\ \\ x=4 \end{gathered}`

So you also have this point:

`(4,0)`

Knowing these points, you can plot them of the Coordinate plane and graph the line.

The graph of the line is: