If a straight line passes through the point x = 24 and y = 8 and also through the point x = 8 and y = 16, the slope of this line is
A)negative 8 divided by 4.
B)seven-tenths.
C)negative one-half.
D)one and one-half.

Question

Quizplus · Accepted Answer

We can use the slope formula to find the slope of the line passing through the two points:

slope = (y2 - y1) / (x2 - x1)

Plugging in the coordinates, we get:

slope = (16 - 8) / (8 - 24) = (-8) / (-16) = 1/2

However, we need to remember that this is the slope of a line passing through two points in a certain order, and that line could have a direction that is opposite to the direction we want. To make sure our answer is correct, we can check the slope of the line passing through the same two points but in reverse order:

slope = (8 - 16) / (24 - 8) = (-8) / 16 = (-1) / 2

Since we want the line to have a positive slope, we need to use the positive value of the slope, which is 1/2. Therefore, the answer is C, negative one-half (since the negative value was the slope of the line in the reverse order of the points).

If a Straight Line Passes Through the Point X =