2x-11y=2

Subtract 2x from both sides of the equation.

-11y=2-2x

Divide each term by -11 and simplify.

Divide each term in -11y=2-2x by -11.

-11y-11=2-11+-2x-11

Cancel the common factor of -11.

Cancel the common factor.

-11y-11=2-11+-2x-11

Divide y by 1.

y=2-11+-2x-11

y=2-11+-2x-11

Simplify each term.

Move the negative in front of the fraction.

y=-211+-2x-11

Dividing two negative values results in a positive value.

y=-211+2×11

y=-211+2×11

y=-211+2×11

y=-211+2×11

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

y=mx+b

Reorder -211 and 2×11.

y=2×11-211

Rewrite in slope-intercept form.

y=211x-211

y=211x-211

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

m=211

b=-211

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

Slope: 211

y-intercept: -211

Slope: 211

y-intercept: -211

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)11-211

Simplify the result.

Reorder terms.

f(1)=1⋅211-211

Combine the numerators over the common denominator.

f(1)=1⋅2-211

Simplify the numerator.

Multiply 1 by 2.

f(1)=2-211

Subtract 2 from 2.

f(1)=011

f(1)=011

Divide 0 by 11.

f(1)=0

The final answer is 0.

0

0

The y value at x=1 is 0.

y=0

y=0

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)11-211

Simplify the result.

Reorder terms.

f(0)=0⋅211-211

Combine the numerators over the common denominator.

f(0)=0⋅2-211

Simplify the numerator.

Multiply 0 by 2.

f(0)=0-211

Subtract 2 from 0.

f(0)=-211

f(0)=-211

Move the negative in front of the fraction.

f(0)=-211

The final answer is -211.

-211

-211

The y value at x=0 is -211.

y=-211

y=-211

Create a table of the x and y values.

xy0-21110

xy0-21110

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

Slope: 211

y-intercept: -211

xy0-21110

Graph 2x-11y=2