y+3=34⋅(x-1)

Subtract 3 from both sides of the equation.

y=3×4-34-3

To write -3 as a fraction with a common denominator, multiply by 44.

y=3×4-34-3⋅44

Combine -3 and 44.

y=3×4-34+-3⋅44

Combine the numerators over the common denominator.

y=3×4+-3-3⋅44

Simplify the numerator.

Multiply -3 by 4.

y=3×4+-3-124

Subtract 12 from -3.

y=3×4+-154

y=3×4+-154

Move the negative in front of the fraction.

y=3×4-154

y=3×4-154

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=34

b=-154

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

Slope: 34

y-intercept: -154

Slope: 34

y-intercept: -154

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)4-154

Simplify the result.

Multiply 3 by 1.

f(1)=34-154

Combine the numerators over the common denominator.

f(1)=3-154

Subtract 15 from 3.

f(1)=-124

Divide -12 by 4.

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)=3(2)4-154

Simplify the result.

Multiply 3 by 2.

f(2)=64-154

Combine the numerators over the common denominator.

f(2)=6-154

Subtract 15 from 6.

f(2)=-94

Move the negative in front of the fraction.

f(2)=-94

The final answer is -94.

-94

-94

The y value at x=2 is -94.

y=-94

y=-94

Create a table of the x and y values.

xy1-32-94

xy1-32-94

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

Slope: 34

y-intercept: -154

xy1-32-94

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