Find at least 4 ordered pairs

Question

Create a table of values for each equation and sketch the graph. Write out all steps to answer the problem.

1. 
   

Answer 1

To create the table of values, pick values for x and solve for y. Since there is a fraction, I want to make sure to use values of x that are multiples of 3, so the values won't be fractions.

x=0

y=5/3(0)-3

y=0-3

y=-3

(0,-3)

x=3

y=5/3(3)-3

y=5-3

y=2

(3,2)

x=6

y=5/3(6)-3

y=10-3

y=7

(6,7)

x=9

y=5/3(9)-3

y=15-3

y=12

(9,12)

Graph those points to create the graph

Answer 2

First, note that the equation is of a line. It is in slope-intercept format.

Slope = (5/3). y-intercept is at (0,-3)

Well, you have one point already! --- (0,-3)

Slope means "rise over run" -- that is, (change in y) / (change in x). A slope of (5/3) means that y increases 5 for an increase of 3 in x.

(3,2) -- increase x by 3 and increase y by 5

(6,7) - increase x by 3 and increase y by 5

(9,12) - increse x by 3 and increase y by 5

Four points and graph:

(NOTE: Points selected to avoid fractions)