4y-16=20x

Add 16 to both sides of the equation.

4y=20x+16

Divide each term by 4 and simplify.

Divide each term in 4y=20x+16 by 4.

4y4=20×4+164

Cancel the common factor of 4.

Cancel the common factor.

4y4=20×4+164

Divide y by 1.

y=20×4+164

y=20×4+164

Simplify each term.

Cancel the common factor of 20 and 4.

Factor 4 out of 20x.

y=4(5x)4+164

Cancel the common factors.

Factor 4 out of 4.

y=4(5x)4(1)+164

Cancel the common factor.

y=4(5x)4⋅1+164

Rewrite the expression.

y=5×1+164

Divide 5x by 1.

y=5x+164

y=5x+164

y=5x+164

Divide 16 by 4.

y=5x+4

y=5x+4

y=5x+4

y=5x+4

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=5

b=4

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

Slope: 5

y-intercept: 4

Slope: 5

y-intercept: 4

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

Replace the variable x with 0 in the expression.

f(0)=5(0)+4

Simplify the result.

Multiply 5 by 0.

f(0)=0+4

Add 0 and 4.

f(0)=4

The final answer is 4.

4

4

The y value at x=0 is 4.

y=4

y=4

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=5(1)+4

Simplify the result.

Multiply 5 by 1.

f(1)=5+4

Add 5 and 4.

f(1)=9

The final answer is 9.

9

9

The y value at x=1 is 9.

y=9

y=9

Create a table of the x and y values.

xy0419

xy0419

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

Slope: 5

y-intercept: 4

xy0419

Graph 4y-16=20x