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

Answer:

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.

Step-by-step explanation:

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

$m = \frac{y_2- y_1}{x_2-x_1}$

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

So, here, the slope of line AB  is $m = \frac{3 -7}{3-(-2)} = \frac{-4}{3 +2} = \frac{-4}{5}$

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 $m = \frac{1-1}{9-5} = \frac{0}{4} = 0$

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.