1. refer to the equation 3x − 4y = 12. (a) create a table of values for at least 4 points. show your work on how you found the values for each coordinate pair, and validated the points were on the line.

The table of values is attached.

The graph of the line shows that the points lie on the line.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

We can solve for the variable "y" in order to write in Slope-Intercept form:

The nex step is to give values to the variables "x", then substitute each value into  the equation and evaluate, in order to find the correspondings values of "y".

With this values we can make the table attached.

 We can identify the slope of the line and the y-intercept are:

Then we can graph it

Observe that the points lie on the line.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.