6y+3=-18x

Subtract 3 from both sides of the equation.

6y=-18x-3

Divide each term by 6 and simplify.

Divide each term in 6y=-18x-3 by 6.

6y6=-18×6+-36

Cancel the common factor of 6.

Cancel the common factor.

6y6=-18×6+-36

Divide y by 1.

y=-18×6+-36

y=-18×6+-36

Simplify each term.

Cancel the common factor of -18 and 6.

Factor 6 out of -18x.

y=6(-3x)6+-36

Cancel the common factors.

Factor 6 out of 6.

y=6(-3x)6(1)+-36

Cancel the common factor.

y=6(-3x)6⋅1+-36

Rewrite the expression.

y=-3×1+-36

Divide -3x by 1.

y=-3x+-36

y=-3x+-36

y=-3x+-36

Cancel the common factor of -3 and 6.

Factor 3 out of -3.

y=-3x+3(-1)6

Cancel the common factors.

Factor 3 out of 6.

y=-3x+3⋅-13⋅2

Cancel the common factor.

y=-3x+3⋅-13⋅2

Rewrite the expression.

y=-3x+-12

y=-3x+-12

y=-3x+-12

Move the negative in front of the fraction.

y=-3x-12

y=-3x-12

y=-3x-12

y=-3x-12

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=-3

b=-12

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

Slope: -3

y-intercept: -12

Slope: -3

y-intercept: -12

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

Replace the variable x with 0 in the expression.

f(0)=-3⋅0-12

Simplify the result.

Multiply -3 by 0.

f(0)=0-12

Subtract 12 from 0.

f(0)=-12

The final answer is -12.

-12

-12

The y value at x=0 is -12.

y=-12

y=-12

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

Replace the variable x with 1 in the expression.

f(1)=-3⋅1-12

Simplify the result.

Multiply -3 by 1.

f(1)=-3-12

To write -3 as a fraction with a common denominator, multiply by 22.

f(1)=-3⋅22-12

Combine -3 and 22.

f(1)=-3⋅22-12

Combine the numerators over the common denominator.

f(1)=-3⋅2-12

Simplify the numerator.

Multiply -3 by 2.

f(1)=-6-12

Subtract 1 from -6.

f(1)=-72

f(1)=-72

Move the negative in front of the fraction.

f(1)=-72

The final answer is -72.

-72

-72

The y value at x=1 is -72.

y=-72

y=-72

Create a table of the x and y values.

xy0-121-72

xy0-121-72

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

Slope: -3

y-intercept: -12

xy0-121-72

Graph 6y+3=-18x