# Graph x+5y=7 x+5y=7
Solve for y.
Subtract x from both sides of the equation.
5y=7-x
Divide each term by 5 and simplify.
Divide each term in 5y=7-x by 5.
5y5=75+-x5
Cancel the common factor of 5.
Cancel the common factor.
5y5=75+-x5
Divide y by 1.
y=75+-x5
y=75+-x5
Move the negative in front of the fraction.
y=75-x5
y=75-x5
y=75-x5
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 75 and -x5.
y=-x5+75
Rewrite in slope-intercept form.
y=-15x+75
y=-15x+75
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=-15
b=75
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -15
y-intercept: 75
Slope: -15
y-intercept: 75
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 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=-25+75
Simplify the result.
Combine the numerators over the common denominator.
f(2)=-2+75
Add -2 and 7.
f(2)=55
Divide 5 by 5.
f(2)=1
The final answer is 1.
1
1
The y value at x=2 is 1.
y=1
y=1
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=-05+75
Simplify the result.
Combine the numerators over the common denominator.
f(0)=0+75
Add 0 and 7.
f(0)=75
The final answer is 75.
75
75
The y value at x=0 is 75.
y=75
y=75
Create a table of the x and y values.
xy07521
xy07521
Graph the line using the slope and the y-intercept, or the points.
Slope: -15
y-intercept: 75
xy07521
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