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

1 Answer
Meave60
Nov 5, 2017

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]}

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