5y=3x

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

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

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

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)=3(1)5

Simplify the result.

Multiply 3 by 1.

f(1)=35

The final answer is 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