y+3=-13⋅(x-5)

Subtract 3 from both sides of the equation.

y=-x3+53-3

To write -3 as a fraction with a common denominator, multiply by 33.

y=-x3+53-3⋅33

Combine -3 and 33.

y=-x3+53+-3⋅33

Combine the numerators over the common denominator.

y=-x3+5-3⋅33

Simplify the numerator.

Multiply -3 by 3.

y=-x3+5-93

Subtract 9 from 5.

y=-x3+-43

y=-x3+-43

Move the negative in front of the fraction.

y=-x3-43

y=-x3-43

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=-13

b=-43

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

Slope: -13

y-intercept: -43

Slope: -13

y-intercept: -43

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

Replace the variable x with 2 in the expression.

f(2)=-23-43

Simplify the result.

Combine the numerators over the common denominator.

f(2)=-2-43

Subtract 4 from -2.

f(2)=-63

Divide -6 by 3.

f(2)=-2

The final answer is -2.

-2

-2

The y value at x=2 is -2.

y=-2

y=-2

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

Replace the variable x with 0 in the expression.

f(0)=-03-43

Simplify the result.

Combine the numerators over the common denominator.

f(0)=0-43

Subtract 4 from 0.

f(0)=-43

Move the negative in front of the fraction.

f(0)=-43

The final answer is -43.

-43

-43

The y value at x=0 is -43.

y=-43

y=-43

Create a table of the x and y values.

xy0-432-2

xy0-432-2

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

Slope: -13

y-intercept: -43

xy0-432-2

Graph y+3=-1/3*(x-5)