Question

The points (2, u) and (3, 10) fall on a line with a slope of 8. What is the value of u?

Please I have a unit test tomorrow I need help.

Answer 1

To find the value of u, you can use the slope formula:

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

In this case, (x1, y1) = (2, u) and (x2, y2) = (3, 10). Plugging these values into the formula gives:

slope = (10 - u) / (3 - 2)

Simplifying this expression gives:

slope = (10 - u) / 1

Since the slope is 8, we can set this expression equal to 8 and solve for u:

8 = (10 - u) / 1

8 = 10 - u

u = 10 - 8

u = 2

Therefore, the value of u is 2.

Certainly! The slope of a line is a measure of how steep the line is. It is calculated by finding the ratio of the difference in the y-coordinates of two points on the line to the difference in the x-coordinates of those same two points. For example, in the line you gave, the two points are (2, u) and (3, 10). The difference in the x-coordinates of these two points is 3 - 2 = 1, and the difference in the y-coordinates is 10 - u. The slope of the line is then (10 - u) / 1. We know that the slope of this line is 8, so we can set the expression for the slope equal to 8 and solve for u. This gives us the value of u, which is 2. I hope this helps! Let me know if you have any questions.

Answer 2

u = 2

Explanation:

The slope of a line between points
`(x_1,y_1)` and
`(x_2,y_2)` is equal to
`(y_2-y_1)/(x_2-x_1)`, so, given our slope of 8, we need to find the first y-coordinate:

`m=(y_2-y_1)/(x_2-x_1)\\\\8=(10-u)/(3-2)\\\\8=(10-u)/(1)\\\\8=10-u\\\\-2=-u\\\\2=u`

Hence, the value of "u" is 2.