Question

Find the slope of the line satisfying the given conditions

Answer 1

Answer:

a) The slope of the line is $-\frac{12}{5}$

b) The slope of the line is 1

Step-by-step explanation:

The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = $\frac{y2-y1}{x2-x1}$

a)

∵ The line passes through points (-3, 4) and (2, -8)

∴ x1 = -3 and y1 = 4

∴ x2 = 2 and y2 = -8

→ Substitute them in the rule of the slope above to find it

∵ m = $\frac{-8-4}{2--3}$ = $\frac{-12}{2+3}$ =  $\frac{-12}{5}$

∴ m = $-\frac{12}{5}$

∴ The slope of the line is $-\frac{12}{5}$

b)

∵ The line passes through points (5, -3) and (1, -7)

∴ x1 = 5 and y1 = -3

∴ x2 = 1 and y2 = -7

→ Substitute them in the rule of the slope above to find it

∵ m = $\frac{-7--3}{1-5}$ = $\frac{-7+3}{-4}$ = $\frac{-4}{-4}$

∴ m = 1

∴ The slope of the line is 1