3x-2y=-19

Subtract 3x from both sides of the equation.

-2y=-19-3x

Divide each term by -2 and simplify.

Divide each term in -2y=-19-3x by -2.

-2y-2=-19-2+-3x-2

Cancel the common factor of -2.

Cancel the common factor.

-2y-2=-19-2+-3x-2

Divide y by 1.

y=-19-2+-3x-2

y=-19-2+-3x-2

Simplify each term.

Dividing two negative values results in a positive value.

y=192+-3x-2

Dividing two negative values results in a positive value.

y=192+3×2

y=192+3×2

y=192+3×2

y=192+3×2

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

y=mx+b

Reorder 192 and 3×2.

y=3×2+192

Rewrite in slope-intercept form.

y=32x+192

y=32x+192

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

m=32

b=192

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

Slope: 32

y-intercept: 192

Slope: 32

y-intercept: 192

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)2+192

Simplify the result.

Multiply 3 by 1.

f(1)=32+192

Combine the numerators over the common denominator.

f(1)=3+192

Add 3 and 19.

f(1)=222

Divide 22 by 2.

f(1)=11

The final answer is 11.

11

11

The y value at x=1 is 11.

y=11

y=11

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=3(3)2+192

Simplify the result.

Multiply 3 by 3.

f(3)=92+192

Combine the numerators over the common denominator.

f(3)=9+192

Add 9 and 19.

f(3)=282

Divide 28 by 2.

f(3)=14

The final answer is 14.

14

14

The y value at x=3 is 14.

y=14

y=14

Create a table of the x and y values.

xy111314

xy111314

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

Slope: 32

y-intercept: 192

xy111314

Graph 3x-2y=-19