Question

Use the slope intercept form to graph the equation. y=-2x+4

Answer 1

INFORMATION:

We have the following slope intercept form of a line

`y=-2x+4`

And we must graph it

STEP BY STEP EXPLANATION:

To graph it, we must analyze the given equation.

When we have the slope intercept form, we have the next

Comparing with the given equation, we can see that in our case:

- m = -2

- y-intercept = 4

If the y-intercept is 4, the line passes through the point (0, 4).

Now, to graph the line, we need to find another point. We can calculate the x-intercept replacing y = 0 and solving for x

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

So, the line passes through the point (2, 0)

Finally, knowing that the line passes through the points (2, 0) and (0, 4), we can graph it

ANSWER: