9x-4y=-14

Subtract 9x from both sides of the equation.

-4y=-14-9x

Divide each term by -4 and simplify.

Divide each term in -4y=-14-9x by -4.

-4y-4=-14-4+-9x-4

Cancel the common factor of -4.

Cancel the common factor.

-4y-4=-14-4+-9x-4

Divide y by 1.

y=-14-4+-9x-4

y=-14-4+-9x-4

Simplify each term.

Cancel the common factor of -14 and -4.

Factor -2 out of -14.

y=-2(7)-4+-9x-4

Cancel the common factors.

Factor -2 out of -4.

y=-2⋅7-2⋅2+-9x-4

Cancel the common factor.

y=-2⋅7-2⋅2+-9x-4

Rewrite the expression.

y=72+-9x-4

y=72+-9x-4

y=72+-9x-4

Dividing two negative values results in a positive value.

y=72+9×4

y=72+9×4

y=72+9×4

y=72+9×4

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

y=mx+b

Reorder 72 and 9×4.

y=9×4+72

Rewrite in slope-intercept form.

y=94x+72

y=94x+72

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

m=94

b=72

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

Slope: 94

y-intercept: 72

Slope: 94

y-intercept: 72

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=9(2)4+72

Simplify the result.

Multiply 9 by 2.

f(2)=184+72

Cancel the common factor of 18 and 4.

Factor 2 out of 18.

f(2)=2(9)4+72

Cancel the common factors.

Factor 2 out of 4.

f(2)=2⋅92⋅2+72

Cancel the common factor.

f(2)=2⋅92⋅2+72

Rewrite the expression.

f(2)=92+72

f(2)=92+72

f(2)=92+72

Combine the numerators over the common denominator.

f(2)=9+72

Add 9 and 7.

f(2)=162

Divide 16 by 2.

f(2)=8

The final answer is 8.

8

8

The y value at x=2 is 8.

y=8

y=8

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

Replace the variable x with 0 in the expression.

f(0)=9(0)4+72

Simplify the result.

Multiply 9 by 0.

f(0)=04+72

Divide 0 by 4.

f(0)=0+72

Add 0 and 72.

f(0)=72

The final answer is 72.

72

72

The y value at x=0 is 72.

y=72

y=72

Create a table of the x and y values.

xy07228

xy07228

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

Slope: 94

y-intercept: 72

xy07228

Graph 9x-4y=-14