# Graph y+3=4/3*(x-1)

y+3=43⋅(x-1)
Move all terms not containing y to the right side of the equation.
Subtract 3 from both sides of the equation.
y=4×3-43-3
To write -3 as a fraction with a common denominator, multiply by 33.
y=4×3-43-3⋅33
Combine -3 and 33.
y=4×3-43+-3⋅33
Combine the numerators over the common denominator.
y=4×3+-4-3⋅33
Simplify the numerator.
Multiply -3 by 3.
y=4×3+-4-93
Subtract 9 from -4.
y=4×3+-133
y=4×3+-133
Move the negative in front of the fraction.
y=4×3-133
y=4×3-133
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=43
b=-133
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 43
y-intercept: -133
Slope: 43
y-intercept: -133
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)=4(1)3-133
Simplify the result.
Multiply 4 by 1.
f(1)=43-133
Combine the numerators over the common denominator.
f(1)=4-133
Subtract 13 from 4.
f(1)=-93
Divide -9 by 3.
f(1)=-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)=4(2)3-133
Simplify the result.
Multiply 4 by 2.
f(2)=83-133
Combine the numerators over the common denominator.
f(2)=8-133
Subtract 13 from 8.
f(2)=-53
Move the negative in front of the fraction.
f(2)=-53
-53
-53
The y value at x=2 is -53.
y=-53
y=-53
Create a table of the x and y values.
xy1-32-53
xy1-32-53
Graph the line using the slope and the y-intercept, or the points.
Slope: 43
y-intercept: -133
xy1-32-53
Graph y+3=4/3*(x-1)