y=5+25x

Reorder 5 and 2×5.

y=2×5+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=25

b=5

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

Slope: 25

y-intercept: 5

Slope: 25

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)=2(0)5+5

Simplify the result.

Multiply 2 by 0.

f(0)=05+5

Divide 0 by 5.

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)=2(1)5+5

Simplify the result.

Multiply 2 by 1.

f(1)=25+5

To write 5 as a fraction with a common denominator, multiply by 55.

f(1)=25+5⋅55

Combine 5 and 55.

f(1)=25+5⋅55

Combine the numerators over the common denominator.

f(1)=2+5⋅55

Simplify the numerator.

Multiply 5 by 5.

f(1)=2+255

Add 2 and 25.

f(1)=275

f(1)=275

The final answer is 275.

275

275

The y value at x=1 is 275.

y=275

y=275

Create a table of the x and y values.

xy051275

xy051275

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

Slope: 25

y-intercept: 5

xy051275

Graph y=5+2/5x