# Graph x+4y-2y+5y x+4y-2y+5y
Solve for y.
Subtract x from both sides of the equation.
7y=-x
Divide each term by 7 and simplify.
Divide each term in 7y=-x by 7.
7y7=-x7
Cancel the common factor of 7.
Cancel the common factor.
7y7=-x7
Divide y by 1.
y=-x7
y=-x7
Move the negative in front of the fraction.
y=-x7
y=-x7
y=-x7
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Find the values of m and b using the form y=mx+b.
m=-17
b=0
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -17
y-intercept: 0
Slope: -17
y-intercept: 0
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)=-07
Simplify the result.
Divide 0 by 7.
f(0)=-0
Multiply -1 by 0.
f(0)=0
0
0
The y value at x=0 is 0.
y=0
y=0
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-17
-17
The y value at x=1 is -17.
y=-17
y=-17
Create a table of the x and y values.
xy001-17
xy001-17
Graph the line using the slope and the y-intercept, or the points.
Slope: -17
y-intercept: 0
xy001-17
Graph x+4y-2y+5y     