Answer:
a) The slope of the line is [tex]-\frac{12}{5}[/tex]
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 = [tex]\frac{y2-y1}{x2-x1}[/tex]
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 = [tex]\frac{-8-4}{2--3}[/tex] = [tex]\frac{-12}{2+3}[/tex] = [tex]\frac{-12}{5}[/tex]
∴ m = [tex]-\frac{12}{5}[/tex]
∴ The slope of the line is [tex]-\frac{12}{5}[/tex]
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 = [tex]\frac{-7--3}{1-5}[/tex] = [tex]\frac{-7+3}{-4}[/tex] = [tex]\frac{-4}{-4}[/tex]
∴ m = 1
∴ The slope of the line is 1
