y=-54x+3

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=-54

b=3

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

Slope: -54

y-intercept: 3

Slope: -54

y-intercept: 3

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)4+3

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 4.

Factor 4 out of 5(0).

f(0)=-4(5⋅(0))4+3

Cancel the common factors.

Factor 4 out of 4.

f(0)=-4(5⋅(0))4(1)+3

Cancel the common factor.

f(0)=-4(5⋅(0))4⋅1+3

Rewrite the expression.

f(0)=-5⋅(0)1+3

Divide 5⋅(0) by 1.

f(0)=-(5⋅(0))+3

f(0)=-(5⋅(0))+3

f(0)=-(5⋅(0))+3

Multiply 5 by 0.

f(0)=-0+3

Multiply -1 by 0.

f(0)=0+3

f(0)=0+3

Add 0 and 3.

f(0)=3

The final answer is 3.

3

3

The y value at x=0 is 3.

y=3

y=3

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=-5(1)4+3

Simplify the result.

Multiply 5 by 1.

f(1)=-54+3

To write 3 as a fraction with a common denominator, multiply by 44.

f(1)=-54+3⋅44

Combine 3 and 44.

f(1)=-54+3⋅44

Combine the numerators over the common denominator.

f(1)=-5+3⋅44

Simplify the numerator.

Multiply 3 by 4.

f(1)=-5+124

Add -5 and 12.

f(1)=74

f(1)=74

The final answer is 74.

74

74

The y value at x=1 is 74.

y=74

y=74

Create a table of the x and y values.

xy03174

xy03174

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

Slope: -54

y-intercept: 3

xy03174

Graph y=-5/4x+3