# Graph 4x-5y=-20 4x-5y=-20
Solve for y.
Subtract 4x from both sides of the equation.
-5y=-20-4x
Divide each term by -5 and simplify.
Divide each term in -5y=-20-4x by -5.
-5y-5=-20-5+-4x-5
Cancel the common factor of -5.
Cancel the common factor.
-5y-5=-20-5+-4x-5
Divide y by 1.
y=-20-5+-4x-5
y=-20-5+-4x-5
Simplify each term.
Divide -20 by -5.
y=4+-4x-5
Dividing two negative values results in a positive value.
y=4+4×5
y=4+4×5
y=4+4×5
y=4+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 4 and 4×5.
y=4×5+4
Rewrite in slope-intercept form.
y=45x+4
y=45x+4
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=4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 45
y-intercept: 4
Slope: 45
y-intercept: 4
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+4
Simplify the result.
Multiply 4 by 0.
f(0)=05+4
Divide 0 by 5.
f(0)=0+4
Add 0 and 4.
f(0)=4
The final answer is 4.
4
4
The y value at x=0 is 4.
y=4
y=4
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+4
Simplify the result.
Multiply 4 by 1.
f(1)=45+4
To write 4 as a fraction with a common denominator, multiply by 55.
f(1)=45+4⋅55
Combine 4 and 55.
f(1)=45+4⋅55
Combine the numerators over the common denominator.
f(1)=4+4⋅55
Simplify the numerator.
Multiply 4 by 5.
f(1)=4+205
Add 4 and 20.
f(1)=245
f(1)=245
The final answer is 245.
245
245
The y value at x=1 is 245.
y=245
y=245
Create a table of the x and y values.
xy041245
xy041245
Graph the line using the slope and the y-intercept, or the points.
Slope: 45
y-intercept: 4
xy041245
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