# Graph 4x-5y=-4 4x-5y=-4
Solve for y.
Subtract 4x from both sides of the equation.
-5y=-4-4x
Divide each term by -5 and simplify.
Divide each term in -5y=-4-4x by -5.
-5y-5=-4-5+-4x-5
Cancel the common factor of -5.
Cancel the common factor.
-5y-5=-4-5+-4x-5
Divide y by 1.
y=-4-5+-4x-5
y=-4-5+-4x-5
Simplify each term.
Dividing two negative values results in a positive value.
y=45+-4x-5
Dividing two negative values results in a positive value.
y=45+4×5
y=45+4×5
y=45+4×5
y=45+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 45 and 4×5.
y=4×5+45
Rewrite in slope-intercept form.
y=45x+45
y=45x+45
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=45
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 45
y-intercept: 45
Slope: 45
y-intercept: 45
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 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+45
Simplify the result.
Reorder terms.
f(0)=0⋅45+45
Combine the numerators over the common denominator.
f(0)=0⋅4+45
Simplify the numerator.
Multiply 0 by 4.
f(0)=0+45
f(0)=45
f(0)=45
45
45
The y value at x=0 is 45.
y=45
y=45
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+45
Simplify the result.
Reorder terms.
f(1)=1⋅45+45
Combine the numerators over the common denominator.
f(1)=1⋅4+45
Simplify the numerator.
Multiply 1 by 4.
f(1)=4+45
f(1)=85
f(1)=85
85
85
The y value at x=1 is 85.
y=85
y=85
Create a table of the x and y values.
xy045185
xy045185
Graph the line using the slope and the y-intercept, or the points.
Slope: 45
y-intercept: 45
xy045185
Graph 4x-5y=-4     