6x+5y=-20

Subtract 6x from both sides of the equation.

5y=-20-6x

Divide each term by 5 and simplify.

Divide each term in 5y=-20-6x by 5.

5y5=-205+-6×5

Cancel the common factor of 5.

Cancel the common factor.

5y5=-205+-6×5

Divide y by 1.

y=-205+-6×5

y=-205+-6×5

Simplify each term.

Divide -20 by 5.

y=-4+-6×5

Move the negative in front of the fraction.

y=-4-6×5

y=-4-6×5

y=-4-6×5

y=-4-6×5

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

y=mx+b

Reorder -4 and -6×5.

y=-6×5-4

Rewrite in slope-intercept form.

y=-65x-4

y=-65x-4

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

m=-65

b=-4

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

Slope: -65

y-intercept: -4

Slope: -65

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)=-6(0)5-4

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 5.

Factor 5 out of 6(0).

f(0)=-5(6⋅(0))5-4

Cancel the common factors.

Factor 5 out of 5.

f(0)=-5(6⋅(0))5(1)-4

Cancel the common factor.

f(0)=-5(6⋅(0))5⋅1-4

Rewrite the expression.

f(0)=-6⋅(0)1-4

Divide 6⋅(0) by 1.

f(0)=-(6⋅(0))-4

f(0)=-(6⋅(0))-4

f(0)=-(6⋅(0))-4

Multiply 6 by 0.

f(0)=-0-4

Multiply -1 by 0.

f(0)=0-4

f(0)=0-4

Subtract 4 from 0.

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)=-6(1)5-4

Simplify the result.

Multiply 6 by 1.

f(1)=-65-4

To write -4 as a fraction with a common denominator, multiply by 55.

f(1)=-65-4⋅55

Combine -4 and 55.

f(1)=-65+-4⋅55

Combine the numerators over the common denominator.

f(1)=-6-4⋅55

Simplify the numerator.

Multiply -4 by 5.

f(1)=-6-205

Subtract 20 from -6.

f(1)=-265

f(1)=-265

Move the negative in front of the fraction.

f(1)=-265

The final answer is -265.

-265

-265

The y value at x=1 is -265.

y=-265

y=-265

Create a table of the x and y values.

xy0-41-265

xy0-41-265

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

Slope: -65

y-intercept: -4

xy0-41-265

Graph 6x+5y=-20