# Graph 6x+y-2 6x+y-2
Move all terms not containing y to the right side of the equation.
Subtract 6x from both sides of the equation.
y-2=-6x
Add 2 to both sides of the equation.
y=-6x+2
y=-6x+2
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=-6
b=2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -6
y-intercept: 2
Slope: -6
y-intercept: 2
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+2
Simplify the result.
Multiply -6 by 0.
f(0)=0+2
Add 0 and 2.
f(0)=2
The final answer is 2.
2
2
The y value at x=0 is 2.
y=2
y=2
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+2
Simplify the result.
Multiply -6 by 1.
f(1)=-6+2
Add -6 and 2.
f(1)=-4
The final answer is -4.
-4
-4
The y value at x=1 is -4.
y=-4
y=-4
Create a table of the x and y values.
xy021-4
xy021-4
Graph the line using the slope and the y-intercept, or the points.
Slope: -6
y-intercept: 2
xy021-4
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