# Graph y+3=3/4*(x-1) y+3=34⋅(x-1)
Move all terms not containing y to the right side of the equation.
Subtract 3 from both sides of the equation.
y=3×4-34-3
To write -3 as a fraction with a common denominator, multiply by 44.
y=3×4-34-3⋅44
Combine -3 and 44.
y=3×4-34+-3⋅44
Combine the numerators over the common denominator.
y=3×4+-3-3⋅44
Simplify the numerator.
Multiply -3 by 4.
y=3×4+-3-124
Subtract 12 from -3.
y=3×4+-154
y=3×4+-154
Move the negative in front of the fraction.
y=3×4-154
y=3×4-154
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=34
b=-154
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 34
y-intercept: -154
Slope: 34
y-intercept: -154
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 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=3(1)4-154
Simplify the result.
Multiply 3 by 1.
f(1)=34-154
Combine the numerators over the common denominator.
f(1)=3-154
Subtract 15 from 3.
f(1)=-124
Divide -12 by 4.
f(1)=-3
The final answer is -3.
-3
-3
The y value at x=1 is -3.
y=-3
y=-3
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=3(2)4-154
Simplify the result.
Multiply 3 by 2.
f(2)=64-154
Combine the numerators over the common denominator.
f(2)=6-154
Subtract 15 from 6.
f(2)=-94
Move the negative in front of the fraction.
f(2)=-94
The final answer is -94.
-94
-94
The y value at x=2 is -94.
y=-94
y=-94
Create a table of the x and y values.
xy1-32-94
xy1-32-94
Graph the line using the slope and the y-intercept, or the points.
Slope: 34
y-intercept: -154
xy1-32-94
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