# Graph y=5+2/5x

y=5+25x
Reorder 5 and 2×5.
y=2×5+5
Use the slope-intercept form to find the slope and y-intercept.
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
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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
f(0)=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
f(1)=275
f(1)=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