Question

How do you graph `x/2 - y = 7`?

Answer 1

Refer to the explanation.

Explanation:

Solve for `y` to change the equation to slope-intercept form:

`y=mx+b`,

where:

`m` is the slope and `b` is the y-intercept, which is the value for `y` when `x=0`.

Given:

`x/2-y=7`

Subtract `x/2` from both sides.

`-y=-x/2+7`

Multiply both sides by `-1`. This will reverse the signs.

`y=x/2-7`

`y=1/2x-7`

`m=1/2`

`b=-7`

Determine two points, such as the y-intercept and x-intercept (value of `x` when `y=0`).

Y-intercept: `(0,-7)`

X-intercept: `(14,0)` See below for the calculations.

`0=1/2x-7`

Add `7` to both sides.

`7=1/2x`

Divide both sides by `1/2`. When dividing by a fraction, invert the fraction and multiply.

`7/(1/2)=x`

`7xx2/1=x`

`14=x`

Plot the x- and y-intercepts. Draw a straight line through the points.

graph{y=1/2x-7 [-9.34, 10.66, -8.84, 1.16]}