What is the slope of the line that passes through the points (1,−6) and (−2,−8)?

Question

asked Sep 23, 2024 46.0k views

2 Answers

Sivan · Answer 1 · 2024-09-26T06:36:50+0000

Answer:

2/3

Explanation:

You want the slope of the line through points (1, -6) and (-2, -8).

The slope is found using the formula ...

m = (y2 -y1)/(x2 -x1)

Using the given point values, this is ...

m = (-8 -(-6))/(-2 -1) = -2/-3 = 2/3

The slope of the line is 2/3.

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Jeet Dholakia · Answer 2 · 2024-09-29T23:48:41+0000

Answer:

m=(2)/(3)

Explanation:

We are given that a line passes through the points (1,-6) and (-2, -8).
We want to find the slope (m) of this line.

We can use the formula
(y_2-y_1)/(x_2-x_1) , where
(x_1,y_1) and
(x_2,y_2) are points.

Though we already have two points, we can label the values of the points to avoid any confusion and mistakes.

$x_1=1\\y_1=-6\\x_2=-2\\y_2=-8$

Substitute the values into the formula.

m=(y_2-y_1)/(x_2-x_1)

m=(-8--6)/(-2-1)

Simplify.

m=(-8+6)/(-2-1)

m=(-2)/(-3)

m=(2)/(3)