y=-38x+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=-38

b=3

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

Slope: -38

y-intercept: 3

Slope: -38

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)=-3(0)8+3

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 8.

Factor 8 out of 3(0).

f(0)=-8(3⋅(0))8+3

Cancel the common factors.

Factor 8 out of 8.

f(0)=-8(3⋅(0))8(1)+3

Cancel the common factor.

f(0)=-8(3⋅(0))8⋅1+3

Rewrite the expression.

f(0)=-3⋅(0)1+3

Divide 3⋅(0) by 1.

f(0)=-(3⋅(0))+3

f(0)=-(3⋅(0))+3

f(0)=-(3⋅(0))+3

Multiply 3 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)=-3(1)8+3

Simplify the result.

Multiply 3 by 1.

f(1)=-38+3

To write 3 as a fraction with a common denominator, multiply by 88.

f(1)=-38+3⋅88

Combine 3 and 88.

f(1)=-38+3⋅88

Combine the numerators over the common denominator.

f(1)=-3+3⋅88

Simplify the numerator.

Multiply 3 by 8.

f(1)=-3+248

Add -3 and 24.

f(1)=218

f(1)=218

The final answer is 218.

218

218

The y value at x=1 is 218.

y=218

y=218

Create a table of the x and y values.

xy031218

xy031218

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

Slope: -38

y-intercept: 3

xy031218

Graph y=-3/8x+3