# Graph 6x+y=5 6x+y=5
Subtract 6x from both sides of the equation.
y=5-6x
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 5 and -6x.
y=-6x+5
y=-6x+5
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=-6
b=5
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -6
y-intercept: 5
Slope: -6
y-intercept: 5
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 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-6⋅1+5
Simplify the result.
Multiply -6 by 1.
f(1)=-6+5
Add -6 and 5.
f(1)=-1
The final answer is -1.
-1
-1
The y value at x=1 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)=-6⋅0+5
Simplify the result.
Multiply -6 by 0.
f(0)=0+5
Add 0 and 5.
f(0)=5
The final answer is 5.
5
5
The y value at x=0 is 5.
y=5
y=5
Create a table of the x and y values.
xy051-1
xy051-1
Graph the line using the slope and the y-intercept, or the points.
Slope: -6
y-intercept: 5
xy051-1
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