7x-8y=0

Subtract 7x from both sides of the equation.

-8y=-7x

Divide each term by -8 and simplify.

Divide each term in -8y=-7x by -8.

-8y-8=-7x-8

Cancel the common factor of -8.

Cancel the common factor.

-8y-8=-7x-8

Divide y by 1.

y=-7x-8

y=-7x-8

Dividing two negative values results in a positive value.

y=7×8

y=7×8

y=7×8

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Find the values of m and b using the form y=mx+b.

m=78

b=0

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 78

y-intercept: 0

Slope: 78

y-intercept: 0

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=7(0)8

Simplify the result.

Cancel the common factor of 0 and 8.

Factor 8 out of 7(0).

f(0)=8(7⋅(0))8

Cancel the common factors.

Factor 8 out of 8.

f(0)=8(7⋅(0))8(1)

Cancel the common factor.

f(0)=8(7⋅(0))8⋅1

Rewrite the expression.

f(0)=7⋅(0)1

Divide 7⋅(0) by 1.

f(0)=7⋅(0)

f(0)=7⋅(0)

f(0)=7⋅(0)

Multiply 7 by 0.

f(0)=0

The final answer is 0.

0

0

The y value at x=0 is 0.

y=0

y=0

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)=78

The final answer is 78.

78

78

The y value at x=1 is 78.

y=78

y=78

Create a table of the x and y values.

xy00178

xy00178

Graph the line using the slope and the y-intercept, or the points.

Slope: 78

y-intercept: 0

xy00178

Graph 7x-8y=0