y=-56x+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=-56

b=3

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

Slope: -56

y-intercept: 3

Slope: -56

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)6+3

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 6.

Factor 6 out of 5(0).

f(0)=-6(5⋅(0))6+3

Cancel the common factors.

Factor 6 out of 6.

f(0)=-6(5⋅(0))6(1)+3

Cancel the common factor.

f(0)=-6(5⋅(0))6⋅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)6+3

Simplify the result.

Multiply 5 by 1.

f(1)=-56+3

To write 3 as a fraction with a common denominator, multiply by 66.

f(1)=-56+3⋅66

Combine 3 and 66.

f(1)=-56+3⋅66

Combine the numerators over the common denominator.

f(1)=-5+3⋅66

Simplify the numerator.

Multiply 3 by 6.

f(1)=-5+186

Add -5 and 18.

f(1)=136

f(1)=136

The final answer is 136.

136

136

The y value at x=1 is 136.

y=136

y=136

Create a table of the x and y values.

xy031136

xy031136

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

Slope: -56

y-intercept: 3

xy031136

Graph y=-5/6x+3