Question

Which of the graphs below represents the equation 4x+y=7

Answer 1

Answer is graph C.

Step by step.

First I change the equation to y-intercept form.
y= -4x + 7.

With this we know our slope is -4/1, remember slope is y/x, so it’s points are (1, -4) from the y intercept of 7.

If you start at 7, go -4 down the y axis and right +1 on the x axis, you will find the points are on the line in graph C.

We also know since slope is a negative, our graph will be a negative slope.