Question

Linet passes through points (2, 2) and (10, 9). Line u is parallel to line t. What is the slope of

line u?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

7/8

Explanation:

Understanding the situation

Parallel lines have the same slopes.

If line t is parallel to line u then the slope of line t is the same as the slope of line u.

Finding the slope of line t

Slope formula =
`(y_2-y_1)/(x_2-x_1)`

where the x and y values are derived from points on the line

here, we are given that line to goes through (2,2) and (10,9)

Given that we can assign variables

we have (x1,y1) = (2,2) so x1 = 2 and y1 = 2

we also have (x2,y2) = (10,9) so x2 = 10 and y2 = 9

Now that we have assigned variables we plug them into the formula

Recall formula :
`slope=(y_2-y_1)/(x_2-x_1)`

==> plug in x1 = 2 , y1 = 2, x2 = 10 and y2 = 9

`slope =(9-2)/(10-2)`

==> simplify top and bottom

`slope =(7)/(8)`

The slope of line t is 7/8

Finding the slope of line u

Because line t and line u are parallel line u also has a slope of 7/8