y=5+x4

Reorder 5 and x4.

y=x4+5

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=5

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

Slope: 14

y-intercept: 5

Slope: 14

y-intercept: 5

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

Replace the variable x with 0 in the expression.

f(0)=04+5

Simplify the result.

Divide 0 by 4.

f(0)=0+5

Add 0 and 5.

f(0)=5

The final answer is 5.

5

5

The y value at x=0 is 5.

y=5

y=5

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=14+5

Simplify the result.

To write 5 as a fraction with a common denominator, multiply by 44.

f(1)=14+5⋅44

Combine 5 and 44.

f(1)=14+5⋅44

Combine the numerators over the common denominator.

f(1)=1+5⋅44

Simplify the numerator.

Multiply 5 by 4.

f(1)=1+204

Add 1 and 20.

f(1)=214

f(1)=214

The final answer is 214.

214

214

The y value at x=1 is 214.

y=214

y=214

Create a table of the x and y values.

xy051214

xy051214

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

Slope: 14

y-intercept: 5

xy051214

Graph y=5+x/4