# Graph y+3=-1/3*(x-5) y+3=-13⋅(x-5)
Move all terms not containing y to the right side of the equation.
Subtract 3 from both sides of the equation.
y=-x3+53-3
To write -3 as a fraction with a common denominator, multiply by 33.
y=-x3+53-3⋅33
Combine -3 and 33.
y=-x3+53+-3⋅33
Combine the numerators over the common denominator.
y=-x3+5-3⋅33
Simplify the numerator.
Multiply -3 by 3.
y=-x3+5-93
Subtract 9 from 5.
y=-x3+-43
y=-x3+-43
Move the negative in front of the fraction.
y=-x3-43
y=-x3-43
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=-13
b=-43
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -13
y-intercept: -43
Slope: -13
y-intercept: -43
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 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=-23-43
Simplify the result.
Combine the numerators over the common denominator.
f(2)=-2-43
Subtract 4 from -2.
f(2)=-63
Divide -6 by 3.
f(2)=-2
The final answer is -2.
-2
-2
The y value at x=2 is -2.
y=-2
y=-2
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=-03-43
Simplify the result.
Combine the numerators over the common denominator.
f(0)=0-43
Subtract 4 from 0.
f(0)=-43
Move the negative in front of the fraction.
f(0)=-43
The final answer is -43.
-43
-43
The y value at x=0 is -43.
y=-43
y=-43
Create a table of the x and y values.
xy0-432-2
xy0-432-2
Graph the line using the slope and the y-intercept, or the points.
Slope: -13
y-intercept: -43
xy0-432-2
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