3x-4y+16=0

Move all terms not containing y to the right side of the equation.

Subtract 3x from both sides of the equation.

-4y+16=-3x

Subtract 16 from both sides of the equation.

-4y=-3x-16

-4y=-3x-16

Divide each term by -4 and simplify.

Divide each term in -4y=-3x-16 by -4.

-4y-4=-3x-4+-16-4

Cancel the common factor of -4.

Cancel the common factor.

-4y-4=-3x-4+-16-4

Divide y by 1.

y=-3x-4+-16-4

y=-3x-4+-16-4

Simplify each term.

Dividing two negative values results in a positive value.

y=(3)x4+-16-4

Divide -16 by -4.

y=3×4+4

y=3×4+4

y=3×4+4

y=3×4+4

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=4

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

Slope: 34

y-intercept: 4

Slope: 34

y-intercept: 4

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)4+4

Simplify the result.

Multiply 3 by 0.

f(0)=04+4

Divide 0 by 4.

f(0)=0+4

Add 0 and 4.

f(0)=4

The final answer is 4.

4

4

The y value at x=0 is 4.

y=4

y=4

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+4

Simplify the result.

Multiply 3 by 1.

f(1)=34+4

To write 4 as a fraction with a common denominator, multiply by 44.

f(1)=34+4⋅44

Combine 4 and 44.

f(1)=34+4⋅44

Combine the numerators over the common denominator.

f(1)=3+4⋅44

Simplify the numerator.

Multiply 4 by 4.

f(1)=3+164

Add 3 and 16.

f(1)=194

f(1)=194

The final answer is 194.

194

194

The y value at x=1 is 194.

y=194

y=194

Create a table of the x and y values.

xy041194

xy041194

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

Slope: 34

y-intercept: 4

xy041194

Graph 3x-4y+16=0