Question

FAN AND MEDAL FOR ANSWER!
What is the slope of the line passing through the points (–3, 4) and (2, –1)?

Answer 1

y1-y1/x2-x1
4+1/-3-2
5/-5
=-1

Answer 2

1.10.) x1 = - 2
y1 = 3
x2 = - 5
y2 = 6

Slope, m = (y2 - y1) / (x2 - x1)
m = (6 - 3) / [- 5 - (- 2)]
m = 3 / (- 5 + 2)
m = 3 / - 3
m = - 1
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11.) 2x = 1/2 y + 4
1/2 y = 2x - 4
y = 4x - 8

m = 4

The slope of a perpendicular line will be the negative reciprocal of the slope of the original line, in this case, - 1/4.

m = - 1/4
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12.) 1/3 x + 2/3 y = 2
2/3 y = - 1/3 x + 2
y = - 1/2 + 3

The slope of a parrallel line will have the same slope as the original line.

m = - 1/2

Answer 3

To find the slope between two points, you have to use the formula: \(m = \dfrac{y_2-y_1}{x_2-x_1}\).

In this case:

\(y_2 = -1\)
\(y_1 = 4\)

\(x_2 = 2\)
\(x_1 = -3\)

Plug them in:

\(m = \dfrac{-1-4}{2--3}\)

Simplify:

\(m = \dfrac{-1-4}{2--3}\)

\(m = \dfrac{-5}{5}\)

\(m = -1\)