y=-58x+4

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=-58

b=4

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

Slope: -58

y-intercept: 4

Slope: -58

y-intercept: 4

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

Replace the variable x with 0 in the expression.

f(0)=-5(0)8+4

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 8.

Factor 8 out of 5(0).

f(0)=-8(5⋅(0))8+4

Cancel the common factors.

Factor 8 out of 8.

f(0)=-8(5⋅(0))8(1)+4

Cancel the common factor.

f(0)=-8(5⋅(0))8⋅1+4

Rewrite the expression.

f(0)=-5⋅(0)1+4

Divide 5⋅(0) by 1.

f(0)=-(5⋅(0))+4

f(0)=-(5⋅(0))+4

f(0)=-(5⋅(0))+4

Multiply 5 by 0.

f(0)=-0+4

Multiply -1 by 0.

f(0)=0+4

f(0)=0+4

Add 0 and 4.

f(0)=4

The final answer is 4.

4

4

The y value at x=0 is 4.

y=4

y=4

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

Replace the variable x with 2 in the expression.

f(2)=-5(2)8+4

Simplify the result.

Cancel the common factor of 2 and 8.

Factor 2 out of 5(2).

f(2)=-2⋅58+4

Cancel the common factors.

Factor 2 out of 8.

f(2)=-2⋅52⋅4+4

Cancel the common factor.

f(2)=-2⋅52⋅4+4

Rewrite the expression.

f(2)=-54+4

f(2)=-54+4

f(2)=-54+4

To write 4 as a fraction with a common denominator, multiply by 44.

f(2)=-54+4⋅44

Combine 4 and 44.

f(2)=-54+4⋅44

Combine the numerators over the common denominator.

f(2)=-5+4⋅44

Simplify the numerator.

Multiply 4 by 4.

f(2)=-5+164

Add -5 and 16.

f(2)=114

f(2)=114

The final answer is 114.

114

114

The y value at x=2 is 114.

y=114

y=114

Create a table of the x and y values.

xy042114

xy042114

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

Slope: -58

y-intercept: 4

xy042114

Graph y=-5/8x+4