Equivalent linear algebraic expressions

Graphical explanation

Solution

If you sketch the linear graphs with equations y = 2 − 3t and y = −3t + 2 you will get the same line. They both have a y-intercept of 2 and a gradient of −3.

Hence 2 − 3t is equivalent to −3t + 2.

The graphs of y = 2 − 3t and y = −3t + 2 are shown below.

Straight line graph with negative gradient, intersecting the y axis at 2 and the x axis between 0 and 1.