8(5y+x)=4

Subtract 8x from both sides of the equation.

40y=4-8x

Divide each term by 40 and simplify.

Divide each term in 40y=4-8x by 40.

40y40=440+-8×40

Cancel the common factor of 40.

Cancel the common factor.

40y40=440+-8×40

Divide y by 1.

y=440+-8×40

y=440+-8×40

Simplify each term.

Cancel the common factor of 4 and 40.

Factor 4 out of 4.

y=4(1)40+-8×40

Cancel the common factors.

Factor 4 out of 40.

y=4⋅14⋅10+-8×40

Cancel the common factor.

y=4⋅14⋅10+-8×40

Rewrite the expression.

y=110+-8×40

y=110+-8×40

y=110+-8×40

Cancel the common factor of -8 and 40.

Factor 8 out of -8x.

y=110+8(-x)40

Cancel the common factors.

Factor 8 out of 40.

y=110+8(-x)8(5)

Cancel the common factor.

y=110+8(-x)8⋅5

Rewrite the expression.

y=110+-x5

y=110+-x5

y=110+-x5

Move the negative in front of the fraction.

y=110-x5

y=110-x5

y=110-x5

y=110-x5

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder 110 and -x5.

y=-x5+110

Rewrite in slope-intercept form.

y=-15x+110

y=-15x+110

Find the values of m and b using the form y=mx+b.

m=-15

b=110

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

Slope: -15

y-intercept: 110

Slope: -15

y-intercept: 110

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

Replace the variable x with 0 in the expression.

f(0)=-05+110

Simplify the result.

Simplify each term.

Divide 0 by 5.

f(0)=-0+110

Multiply -1 by 0.

f(0)=0+110

f(0)=0+110

Add 0 and 110.

f(0)=110

The final answer is 110.

110

110

The y value at x=0 is 110.

y=110

y=110

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

Replace the variable x with 1 in the expression.

f(1)=-15+110

Simplify the result.

To write -15 as a fraction with a common denominator, multiply by 22.

f(1)=-15⋅22+110

Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.

Multiply 15 and 22.

f(1)=-25⋅2+110

Multiply 5 by 2.

f(1)=-210+110

f(1)=-210+110

Combine the numerators over the common denominator.

f(1)=-2+110

Add -2 and 1.

f(1)=-110

Move the negative in front of the fraction.

f(1)=-110

The final answer is -110.

-110

-110

The y value at x=1 is -110.

y=-110

y=-110

Create a table of the x and y values.

xy01101-110

xy01101-110

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

Slope: -15

y-intercept: 110

xy01101-110

Graph 8(5y+x)=4