Question

use the slope formula (m=y2-y1/x2-x1) to find the slope of a line given two points. (1, 6) and (-3,0) (7,2) and (0,-5) (-7,-3) and (-6,-4)

Answer 1

Answer:

See Below

Step-by-step explanation:

A) 3/2

B) 1

C)  -1

Using the slope formula, and plugging-in values

Answer 2

We want to find the slopes of different lines, given that we know two points on each line.

We will get:

a) 3/2

b) 1

c) -1

Now let's see how to find the slopes.

We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

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

Using that equation we can find the slopes for this problem.

a) (1, 6) and (-3,0)

The slope will be:

$a = \frac{6 - 0}{1 - (-3)} = \frac{6}{4} = \frac{3}{2}$

b) (7,2) and (0,-5)

The slope will be:

$a = \frac{2 - (-5)}{7 - 0} = 1$

c)  (-7,-3) and (-6,-4)

The slope will be:

$a = \frac{-3 - (-4)}{-7 - (-6)} = -1$

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