# Graph 7x-8y=0

7x-8y=0
Solve for y.
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
Use the slope-intercept form to find the slope and y-intercept.
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
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 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
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
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