# Graph y=(5x)/9-160/9 y=5×9-1609
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=59
b=-1609
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 59
y-intercept: -1609
Slope: 59
y-intercept: -1609
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 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=5(3)9-1609
Simplify the result.
Multiply 5 by 3.
f(3)=159-1609
Combine the numerators over the common denominator.
f(3)=15-1609
Subtract 160 from 15.
f(3)=-1459
Move the negative in front of the fraction.
f(3)=-1459
-1459
-1459
The y value at x=3 is -1459.
y=-1459
y=-1459
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=5(2)9-1609
Simplify the result.
Multiply 5 by 2.
f(2)=109-1609
Combine the numerators over the common denominator.
f(2)=10-1609
Subtract 160 from 10.
f(2)=-1509
Cancel the common factor of -150 and 9.
Factor 3 out of -150.
f(2)=3(-50)9
Cancel the common factors.
Factor 3 out of 9.
f(2)=3⋅-503⋅3
Cancel the common factor.
f(2)=3⋅-503⋅3
Rewrite the expression.
f(2)=-503
f(2)=-503
f(2)=-503
Move the negative in front of the fraction.
f(2)=-503
-503
-503
The y value at x=2 is -503.
y=-503
y=-503
Create a table of the x and y values.
xy2-5033-1459
xy2-5033-1459
Graph the line using the slope and the y-intercept, or the points.
Slope: 59
y-intercept: -1609
xy2-5033-1459
Graph y=(5x)/9-160/9     