Question

Line 1 passes through the points -2,7 and 3,3. Line 2 passes through the points 5,1 and 9,1. Find the slope of each line. Which line has the greater slope?​

Answer 1

The slope of the given line 1 is -4/5.

The slope of the given line 2 is 0.

The line 2 has a greater slope then line 1.

Explanation:

The slope of a line with points (x1,y1) and (x2,y2) is given as:

`m = (y_2- y_1)/(x_2-x_1)`

Now, Here the, points of the line 1 are A (-2,7) and B (3,3)

So, here, the slope of line AB is
`m = (3 -7)/(3-(-2))  = (-4)/(3 +2) =   (-4)/(5)`

Hence, the slope of the given line 1 is -4/5.

Now, Here the, points of the line 2 are P (5,1) and Q (9,1)

So, here, the slope of line PQ is
`m = (1-1)/(9-5)  = (0)/(4) =   0`

Hence, the slope of the given line 2 is 0.

Now, as we can see 0 > ( -4 / 5)

So, the line 2 has a greater slope then line 1.