19y-(2x-3)=20

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

Add 2x to both sides of the equation.

19y+3=20+2x

Subtract 3 from both sides of the equation.

19y=20+2x-3

Subtract 3 from 20.

19y=2x+17

19y=2x+17

Divide each term by 19 and simplify.

Divide each term in 19y=2x+17 by 19.

19y19=2×19+1719

Cancel the common factor of 19.

Cancel the common factor.

19y19=2×19+1719

Divide y by 1.

y=2×19+1719

y=2×19+1719

y=2×19+1719

y=2×19+1719

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=219

b=1719

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

Slope: 219

y-intercept: 1719

Slope: 219

y-intercept: 1719

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)19+1719

Simplify the result.

Multiply 2 by 1.

f(1)=219+1719

Combine the numerators over the common denominator.

f(1)=2+1719

Add 2 and 17.

f(1)=1919

Divide 19 by 19.

f(1)=1

The final answer is 1.

1

1

The y value at x=1 is 1.

y=1

y=1

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)19+1719

Simplify the result.

Multiply 2 by 0.

f(0)=019+1719

Combine the numerators over the common denominator.

f(0)=0+1719

Add 0 and 17.

f(0)=1719

The final answer is 1719.

1719

1719

The y value at x=0 is 1719.

y=1719

y=1719

Create a table of the x and y values.

xy0171911

xy0171911

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

Slope: 219

y-intercept: 1719

xy0171911

Graph 19y-(2x-3)=20