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?
Accepted Solution
A:
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:[tex]m = \frac{y_2- y_1}{x_2-x_1}[/tex]Now, Here the, points of the line 1 are A (-2,7) and B (3,3)So, here, the slope of line AB is [tex]m = \frac{3 -7}{3-(-2)} = \frac{-4}{3 +2} = \frac{-4}{5}[/tex]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 [tex]m = \frac{1-1}{9-5} = \frac{0}{4} = 0[/tex]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.