y=-65x-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=-65

b=-3

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

Slope: -65

y-intercept: -3

Slope: -65

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)=-6(0)5-3

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 5.

Factor 5 out of 6(0).

f(0)=-5(6⋅(0))5-3

Cancel the common factors.

Factor 5 out of 5.

f(0)=-5(6⋅(0))5(1)-3

Cancel the common factor.

f(0)=-5(6⋅(0))5⋅1-3

Rewrite the expression.

f(0)=-6⋅(0)1-3

Divide 6⋅(0) by 1.

f(0)=-(6⋅(0))-3

f(0)=-(6⋅(0))-3

f(0)=-(6⋅(0))-3

Multiply 6 by 0.

f(0)=-0-3

Multiply -1 by 0.

f(0)=0-3

f(0)=0-3

Subtract 3 from 0.

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)=-6(1)5-3

Simplify the result.

Multiply 6 by 1.

f(1)=-65-3

To write -3 as a fraction with a common denominator, multiply by 55.

f(1)=-65-3⋅55

Combine -3 and 55.

f(1)=-65+-3⋅55

Combine the numerators over the common denominator.

f(1)=-6-3⋅55

Simplify the numerator.

Multiply -3 by 5.

f(1)=-6-155

Subtract 15 from -6.

f(1)=-215

f(1)=-215

Move the negative in front of the fraction.

f(1)=-215

The final answer is -215.

-215

-215

The y value at x=1 is -215.

y=-215

y=-215

Create a table of the x and y values.

xy0-31-215

xy0-31-215

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

Slope: -65

y-intercept: -3

xy0-31-215

Graph y=-6/5x-3