6x+y-2

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

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

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

Graph 6x+y-2