# Graph 4x-5y=-11

4x-5y=-11
Solve for y.
Subtract 4x from both sides of the equation.
-5y=-11-4x
Divide each term by -5 and simplify.
Divide each term in -5y=-11-4x by -5.
-5y-5=-11-5+-4x-5
Cancel the common factor of -5.
Cancel the common factor.
-5y-5=-11-5+-4x-5
Divide y by 1.
y=-11-5+-4x-5
y=-11-5+-4x-5
Simplify each term.
Dividing two negative values results in a positive value.
y=115+-4x-5
Dividing two negative values results in a positive value.
y=115+4×5
y=115+4×5
y=115+4×5
y=115+4×5
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 115 and 4×5.
y=4×5+115
Rewrite in slope-intercept form.
y=45x+115
y=45x+115
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=45
b=115
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 45
y-intercept: 115
Slope: 45
y-intercept: 115
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)=4(1)5+115
Simplify the result.
Multiply 4 by 1.
f(1)=45+115
Combine the numerators over the common denominator.
f(1)=4+115
f(1)=155
Divide 15 by 5.
f(1)=3
3
3
The y value at x=1 is 3.
y=3
y=3
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=4(0)5+115
Simplify the result.
Multiply 4 by 0.
f(0)=05+115
Combine the numerators over the common denominator.
f(0)=0+115
f(0)=115
115
115
The y value at x=0 is 115.
y=115
y=115
Create a table of the x and y values.
xy011513
xy011513
Graph the line using the slope and the y-intercept, or the points.
Slope: 45
y-intercept: 115
xy011513
Graph 4x-5y=-11