# Graph 5y=3x

5y=3x
Divide each term by 5 and simplify.
Divide each term in 5y=3x by 5.
5y5=3×5
Cancel the common factor of 5.
Cancel the common factor.
5y5=3×5
Divide y by 1.
y=3×5
y=3×5
y=3×5
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=35
b=0
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 35
y-intercept: 0
Slope: 35
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)=3(0)5
Simplify the result.
Cancel the common factor of 0 and 5.
Factor 5 out of 3(0).
f(0)=5(3⋅(0))5
Cancel the common factors.
Factor 5 out of 5.
f(0)=5(3⋅(0))5(1)
Cancel the common factor.
f(0)=5(3⋅(0))5⋅1
Rewrite the expression.
f(0)=3⋅(0)1
Divide 3⋅(0) by 1.
f(0)=3⋅(0)
f(0)=3⋅(0)
f(0)=3⋅(0)
Multiply 3 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)=3(1)5
Simplify the result.
Multiply 3 by 1.
f(1)=35
35
35
The y value at x=1 is 35.
y=35
y=35
Create a table of the x and y values.
xy00135
xy00135
Graph the line using the slope and the y-intercept, or the points.
Slope: 35
y-intercept: 0
xy00135
Graph 5y=3x