y=-12x+7

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=-12

b=7

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: -12

y-intercept: 7

Slope: -12

y-intercept: 7

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=-22+7

Simplify the result.

Simplify each term.

Divide 2 by 2.

f(2)=-1⋅1+7

Multiply -1 by 1.

f(2)=-1+7

f(2)=-1+7

Add -1 and 7.

f(2)=6

The final answer is 6.

6

6

The y value at x=2 is 6.

y=6

y=6

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=-02+7

Simplify the result.

Simplify each term.

Divide 0 by 2.

f(0)=-0+7

Multiply -1 by 0.

f(0)=0+7

f(0)=0+7

Add 0 and 7.

f(0)=7

The final answer is 7.

7

7

The y value at x=0 is 7.

y=7

y=7

Create a table of the x and y values.

xy0726

xy0726

Graph the line using the slope and the y-intercept, or the points.

Slope: -12

y-intercept: 7

xy0726

Graph y=-1/2x+7