y+1=14⋅(x+5)

Subtract 1 from both sides of the equation.

y=x4+54-1

To write -1 as a fraction with a common denominator, multiply by 44.

y=x4+54-1⋅44

Combine -1 and 44.

y=x4+54+-1⋅44

Combine the numerators over the common denominator.

y=x4+5-1⋅44

Simplify the numerator.

Multiply -1 by 4.

y=x4+5-44

Subtract 4 from 5.

y=x4+14

y=x4+14

y=x4+14

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=14

b=14

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

Slope: 14

y-intercept: 14

Slope: 14

y-intercept: 14

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=34+14

Simplify the result.

Combine the numerators over the common denominator.

f(3)=3+14

Add 3 and 1.

f(3)=44

Divide 4 by 4.

f(3)=1

The final answer is 1.

1

1

The y value at x=3 is 1.

y=1

y=1

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

Replace the variable x with 0 in the expression.

f(0)=04+14

Simplify the result.

Combine the numerators over the common denominator.

f(0)=0+14

Add 0 and 1.

f(0)=14

The final answer is 14.

14

14

The y value at x=0 is 14.

y=14

y=14

Create a table of the x and y values.

xy01431

xy01431

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

Slope: 14

y-intercept: 14

xy01431

Graph y+1=1/4*(x+5)