# Graph 4x-5y=0 4x-5y=0
Solve for y.
Subtract 4x from both sides of the equation.
-5y=-4x
Divide each term by -5 and simplify.
Divide each term in -5y=-4x by -5.
-5y-5=-4x-5
Cancel the common factor of -5.
Cancel the common factor.
-5y-5=-4x-5
Divide y by 1.
y=-4x-5
y=-4x-5
Dividing two negative values results in a positive value.
y=4×5
y=4×5
y=4×5
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=45
b=0
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 45
y-intercept: 0
Slope: 45
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)=4(0)5
Simplify the result.
Cancel the common factor of 0 and 5.
Factor 5 out of 4(0).
f(0)=5(4⋅(0))5
Cancel the common factors.
Factor 5 out of 5.
f(0)=5(4⋅(0))5(1)
Cancel the common factor.
f(0)=5(4⋅(0))5⋅1
Rewrite the expression.
f(0)=4⋅(0)1
Divide 4⋅(0) by 1.
f(0)=4⋅(0)
f(0)=4⋅(0)
f(0)=4⋅(0)
Multiply 4 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)=4(1)5
Simplify the result.
Multiply 4 by 1.
f(1)=45
45
45
The y value at x=1 is 45.
y=45
y=45
Create a table of the x and y values.
xy00145
xy00145
Graph the line using the slope and the y-intercept, or the points.
Slope: 45
y-intercept: 0
xy00145
Graph 4x-5y=0     