7x-y=8

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

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

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

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

Graph 7x-y=8