# Graph 2x-11y=2

2x-11y=2
Solve for y.
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
Rewrite in slope-intercept form.
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
Use the slope-intercept form to find the slope and y-intercept.
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
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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
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
-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