y=-47x+8

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=-47

b=8

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

Slope: -47

y-intercept: 8

Slope: -47

y-intercept: 8

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

Replace the variable x with 0 in the expression.

f(0)=-4(0)7+8

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 7.

Factor 7 out of 4(0).

f(0)=-7(4⋅(0))7+8

Cancel the common factors.

Factor 7 out of 7.

f(0)=-7(4⋅(0))7(1)+8

Cancel the common factor.

f(0)=-7(4⋅(0))7⋅1+8

Rewrite the expression.

f(0)=-4⋅(0)1+8

Divide 4⋅(0) by 1.

f(0)=-(4⋅(0))+8

f(0)=-(4⋅(0))+8

f(0)=-(4⋅(0))+8

Multiply 4 by 0.

f(0)=-0+8

Multiply -1 by 0.

f(0)=0+8

f(0)=0+8

Add 0 and 8.

f(0)=8

The final answer is 8.

8

8

The y value at x=0 is 8.

y=8

y=8

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=-4(3)7+8

Simplify the result.

Multiply 4 by 3.

f(3)=-127+8

To write 8 as a fraction with a common denominator, multiply by 77.

f(3)=-127+8⋅77

Combine 8 and 77.

f(3)=-127+8⋅77

Combine the numerators over the common denominator.

f(3)=-12+8⋅77

Simplify the numerator.

Multiply 8 by 7.

f(3)=-12+567

Add -12 and 56.

f(3)=447

f(3)=447

The final answer is 447.

447

447

The y value at x=3 is 447.

y=447

y=447

Create a table of the x and y values.

xy083447

xy083447

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

Slope: -47

y-intercept: 8

xy083447

Graph y=-4/7x+8