10x-5y+8=0

Move all terms not containing y to the right side of the equation.

Subtract 10x from both sides of the equation.

-5y+8=-10x

Subtract 8 from both sides of the equation.

-5y=-10x-8

-5y=-10x-8

Divide each term by -5 and simplify.

Divide each term in -5y=-10x-8 by -5.

-5y-5=-10x-5+-8-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=-10x-5+-8-5

Divide y by 1.

y=-10x-5+-8-5

y=-10x-5+-8-5

Simplify each term.

Cancel the common factor of -10 and -5.

Factor -5 out of -10x.

y=-5(2x)-5+-8-5

Cancel the common factors.

Factor -5 out of -5.

y=-5(2x)-5(1)+-8-5

Cancel the common factor.

y=-5(2x)-5⋅1+-8-5

Rewrite the expression.

y=2×1+-8-5

Divide 2x by 1.

y=2x+-8-5

y=2x+-8-5

y=2x+-8-5

Dividing two negative values results in a positive value.

y=2x+85

y=2x+85

y=2x+85

y=2x+85

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=2

b=85

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

Slope: 2

y-intercept: 85

Slope: 2

y-intercept: 85

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

Replace the variable x with 0 in the expression.

f(0)=2(0)+85

Simplify the result.

Multiply 2 by 0.

f(0)=0+85

Add 0 and 85.

f(0)=85

The final answer is 85.

85

85

The y value at x=0 is 85.

y=85

y=85

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

Replace the variable x with 1 in the expression.

f(1)=2(1)+85

Simplify the result.

Multiply 2 by 1.

f(1)=2+85

To write 2 as a fraction with a common denominator, multiply by 55.

f(1)=2⋅55+85

Combine 2 and 55.

f(1)=2⋅55+85

Combine the numerators over the common denominator.

f(1)=2⋅5+85

Simplify the numerator.

Multiply 2 by 5.

f(1)=10+85

Add 10 and 8.

f(1)=185

f(1)=185

The final answer is 185.

185

185

The y value at x=1 is 185.

y=185

y=185

Create a table of the x and y values.

xy0851185

xy0851185

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

Slope: 2

y-intercept: 85

xy0851185

Graph 10x-5y+8=0