# Graph 7x-y=8 7x-y=8
Solve for y.
Subtract 7x from both sides of the equation.
-y=8-7x
Multiply each term in -y=8-7x by -1
Multiply each term in -y=8-7x by -1.
(-y)⋅-1=8⋅-1+(-7x)⋅-1
Multiply (-y)⋅-1.
Multiply -1 by -1.
1y=8⋅-1+(-7x)⋅-1
Multiply y by 1.
y=8⋅-1+(-7x)⋅-1
y=8⋅-1+(-7x)⋅-1
Simplify each term.
Multiply 8 by -1.
y=-8+(-7x)⋅-1
Multiply -1 by -7.
y=-8+7x
y=-8+7x
y=-8+7x
y=-8+7x
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder -8 and 7x.
y=7x-8
y=7x-8
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
m=7
b=-8
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 7
y-intercept: -8
Slope: 7
y-intercept: -8
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=7(1)-8
Simplify the result.
Multiply 7 by 1.
f(1)=7-8
Subtract 8 from 7.
f(1)=-1
The final answer is -1.
-1
-1
The y value at x=1 is -1.
y=-1
y=-1
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=7(2)-8
Simplify the result.
Multiply 7 by 2.
f(2)=14-8
Subtract 8 from 14.
f(2)=6
The final answer is 6.
6
6
The y value at x=2 is 6.
y=6
y=6
Create a table of the x and y values.
xy1-126
xy1-126
Graph the line using the slope and the y-intercept, or the points.
Slope: 7
y-intercept: -8
xy1-126
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