# Graph 6x+y=3

6x+y=3
Subtract 6x from both sides of the equation.
y=3-6x
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 3 and -6x.
y=-6x+3
y=-6x+3
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=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -6
y-intercept: 3
Slope: -6
y-intercept: 3
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)=-6⋅0+3
Simplify the result.
Multiply -6 by 0.
f(0)=0+3
f(0)=3
3
3
The y value at x=0 is 3.
y=3
y=3
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+3
Simplify the result.
Multiply -6 by 1.
f(1)=-6+3
f(1)=-3
-3
-3
The y value at x=1 is -3.
y=-3
y=-3
Create a table of the x and y values.
xy031-3
xy031-3
Graph the line using the slope and the y-intercept, or the points.
Slope: -6
y-intercept: 3
xy031-3
Graph 6x+y=3