y+3=43⋅(x-1)

Subtract 3 from both sides of the equation.

y=4×3-43-3

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

y=4×3-43-3⋅33

Combine -3 and 33.

y=4×3-43+-3⋅33

Combine the numerators over the common denominator.

y=4×3+-4-3⋅33

Simplify the numerator.

Multiply -3 by 3.

y=4×3+-4-93

Subtract 9 from -4.

y=4×3+-133

y=4×3+-133

Move the negative in front of the fraction.

y=4×3-133

y=4×3-133

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=43

b=-133

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

Slope: 43

y-intercept: -133

Slope: 43

y-intercept: -133

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)3-133

Simplify the result.

Multiply 4 by 1.

f(1)=43-133

Combine the numerators over the common denominator.

f(1)=4-133

Subtract 13 from 4.

f(1)=-93

Divide -9 by 3.

f(1)=-3

The final answer is -3.

-3

-3

The y value at x=1 is -3.

y=-3

y=-3

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

Replace the variable x with 2 in the expression.

f(2)=4(2)3-133

Simplify the result.

Multiply 4 by 2.

f(2)=83-133

Combine the numerators over the common denominator.

f(2)=8-133

Subtract 13 from 8.

f(2)=-53

Move the negative in front of the fraction.

f(2)=-53

The final answer is -53.

-53

-53

The y value at x=2 is -53.

y=-53

y=-53

Create a table of the x and y values.

xy1-32-53

xy1-32-53

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

Slope: 43

y-intercept: -133

xy1-32-53

Graph y+3=4/3*(x-1)