# Graph y=3x+1/2 y=3x+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=3
b=12
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 3
y-intercept: 12
Slope: 3
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)=3(0)+12
Simplify the result.
Multiply 3 by 0.
f(0)=0+12
f(0)=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)=3(1)+12
Simplify the result.
Multiply 3 by 1.
f(1)=3+12
To write 3 as a fraction with a common denominator, multiply by 22.
f(1)=3⋅22+12
Combine 3 and 22.
f(1)=3⋅22+12
Combine the numerators over the common denominator.
f(1)=3⋅2+12
Simplify the numerator.
Multiply 3 by 2.
f(1)=6+12
f(1)=72
f(1)=72
72
72
The y value at x=1 is 72.
y=72
y=72
Create a table of the x and y values.
xy012172
xy012172
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
y-intercept: 12
xy012172
Graph y=3x+1/2     