Question

Without graphing, find the slope of the line that goes through
1. (0,5) and (8,2).
2. (2,-1) and (6,1). 1/2
3. (-3,-2) and (-1,-5).

Answer 1

Answer:1/2,-3/2,-3/8

Step-by-step explanation:

Answer 2

The slope of the lines are -3/8, 1/2 and -7/2 respectively.

A linear equation is given by:

y = mx + b

Where y, x are variables, m is the slope of the line and b is the y intercept.

1) The slope (m) of the line that goes through  (0,5) and (8,2). is:

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{2-5}{8-0}\\\\m=-\frac{3}{8}$

2) The slope (m) of the line that goes through  (2, -1) and (6,1). is:

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-(-1)}{6-2}\\\\m=\frac{1}{2}$

3) The slope (m) of the line that goes through  (-3, -2) and (-1, -5). is:

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-2}{-1-(-3)}\\\\m=-\frac{7}{2}$

The slope of the lines are -3/8, 1/2 and -7/2 respectively.

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