Question

True or False: The points (6,13) (21, 33) and (99, 137) all lie on the same line. The equation of the line is y = 4/3x + 5. PLS HELP ASAP

Answer 1

Answer:

This is true look at picture for clarification

Answer 2

Answer:

True

Step-by-step explanation:

To see if the points all lie on the line y = 4/3x + 5, substitute their x and y values into the equation, solve, and see if the equation is true.

1) First, substitute the x and y values of (6,13) for the x and y in the equation and solve:

$13 = \frac{4}{3} (6) + 5 \\13 = \frac{24}{3} +\frac{15}{3} \\13 = \frac{39}{3}\\13 = 13$

The result is a true equation. Thus, (6,13) is on the line.

2) Do the same with the point (21,33):

$33 = \frac{4}{3} (21) + 5 \\33 = \frac{84}{3} +\frac{15}{3} \\33 = \frac{99}{3} \\33 = 33$

The result is a true equation. Thus, (21,33) is on the line.

3) Finally, do the same with (99, 137):

$137 = \frac{4}{3} (99) + 5\\137 = \frac{396}{3}+\frac{15}{3} \\137 = \frac{411}{3} \\137 = 137$

The result is a true equation. Thus, (99, 137).

All three points are on the line, thus the statement is true.