# Graph y=6/5x+1/2

y=65x+12
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=65
b=12
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 65
y-intercept: 12
Slope: 65
y-intercept: 12
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)=6(0)5+12
Simplify the result.
Multiply 6 by 0.
f(0)=05+12
Divide 0 by 5.
f(0)=0+12
Add 0 and 12.
f(0)=12
The final answer is 12.
12
12
The y value at x=0 is 12.
y=12
y=12
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=6(1)5+12
Simplify the result.
Multiply 6 by 1.
f(1)=65+12
To write 65 as a fraction with a common denominator, multiply by 22.
f(1)=65⋅22+12
To write 12 as a fraction with a common denominator, multiply by 55.
f(1)=65⋅22+12⋅55
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply 65 and 22.
f(1)=6⋅25⋅2+12⋅55
Multiply 5 by 2.
f(1)=6⋅210+12⋅55
Multiply 12 and 55.
f(1)=6⋅210+52⋅5
Multiply 2 by 5.
f(1)=6⋅210+510
f(1)=6⋅210+510
Combine the numerators over the common denominator.
f(1)=6⋅2+510
Simplify the numerator.
Multiply 6 by 2.
f(1)=12+510
Add 12 and 5.
f(1)=1710
f(1)=1710
The final answer is 1710.
1710
1710
The y value at x=1 is 1710.
y=1710
y=1710
Create a table of the x and y values.
xy01211710
xy01211710
Graph the line using the slope and the y-intercept, or the points.
Slope: 65
y-intercept: 12
xy01211710
Graph y=6/5x+1/2

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