# Graph 5y+7x=5

5y+7x=5
Solve for y.
Subtract 7x from both sides of the equation.
5y=5-7x
Divide each term by 5 and simplify.
Divide each term in 5y=5-7x by 5.
5y5=55+-7×5
Cancel the common factor of 5.
Cancel the common factor.
5y5=55+-7×5
Divide y by 1.
y=55+-7×5
y=55+-7×5
Simplify each term.
Divide 5 by 5.
y=1+-7×5
Move the negative in front of the fraction.
y=1-7×5
y=1-7×5
y=1-7×5
y=1-7×5
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 1 and -7×5.
y=-7×5+1
Rewrite in slope-intercept form.
y=-75x+1
y=-75x+1
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=-75
b=1
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -75
y-intercept: 1
Slope: -75
y-intercept: 1
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)=-7(0)5+1
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 5.
Factor 5 out of 7(0).
f(0)=-5(7⋅(0))5+1
Cancel the common factors.
Factor 5 out of 5.
f(0)=-5(7⋅(0))5(1)+1
Cancel the common factor.
f(0)=-5(7⋅(0))5⋅1+1
Rewrite the expression.
f(0)=-7⋅(0)1+1
Divide 7⋅(0) by 1.
f(0)=-(7⋅(0))+1
f(0)=-(7⋅(0))+1
f(0)=-(7⋅(0))+1
Multiply 7 by 0.
f(0)=-0+1
Multiply -1 by 0.
f(0)=0+1
f(0)=0+1
f(0)=1
1
1
The y value at x=0 is 1.
y=1
y=1
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-7(1)5+1
Simplify the result.
Multiply 7 by 1.
f(1)=-75+1
Simplify the expression.
Write 1 as a fraction with a common denominator.
f(1)=-75+55
Combine the numerators over the common denominator.
f(1)=-7+55
f(1)=-7+55
f(1)=-25
Move the negative in front of the fraction.
f(1)=-25
-25
-25
The y value at x=1 is -25.
y=-25
y=-25
Create a table of the x and y values.
xy011-25
xy011-25
Graph the line using the slope and the y-intercept, or the points.
Slope: -75
y-intercept: 1
xy011-25
Graph 5y+7x=5