y=-45x-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=-45

b=-4

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

Slope: -45

y-intercept: -4

Slope: -45

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)=-4(0)5-4

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 5.

Factor 5 out of 4(0).

f(0)=-5(4⋅(0))5-4

Cancel the common factors.

Factor 5 out of 5.

f(0)=-5(4⋅(0))5(1)-4

Cancel the common factor.

f(0)=-5(4⋅(0))5⋅1-4

Rewrite the expression.

f(0)=-4⋅(0)1-4

Divide 4⋅(0) by 1.

f(0)=-(4⋅(0))-4

f(0)=-(4⋅(0))-4

f(0)=-(4⋅(0))-4

Multiply 4 by 0.

f(0)=-0-4

Multiply -1 by 0.

f(0)=0-4

f(0)=0-4

Subtract 4 from 0.

f(0)=-4

The final answer is -4.

-4

-4

The y value at x=0 is -4.

y=-4

y=-4

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

Replace the variable x with 1 in the expression.

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

Simplify the result.

Multiply 4 by 1.

f(1)=-45-4

To write -4 as a fraction with a common denominator, multiply by 55.

f(1)=-45-4⋅55

Combine -4 and 55.

f(1)=-45+-4⋅55

Combine the numerators over the common denominator.

f(1)=-4-4⋅55

Simplify the numerator.

Multiply -4 by 5.

f(1)=-4-205

Subtract 20 from -4.

f(1)=-245

f(1)=-245

Move the negative in front of the fraction.

f(1)=-245

The final answer is -245.

-245

-245

The y value at x=1 is -245.

y=-245

y=-245

Create a table of the x and y values.

xy0-41-245

xy0-41-245

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

Slope: -45

y-intercept: -4

xy0-41-245

Graph y=-4/5x-4