URGENT

7. A line passes through points A (-3, 18) and B (5,2). What is the slope of the line?

A. 2
B. -2
C. 1/2
D. -1/2

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scarsoldier scarsoldier · Answer 1 · 2020-12-17T17:36:09+01:00

[tex]slope = \frac{y1 - y2}{x1 - x2} [/tex]

[tex]slope = \frac{ya - yb}{xa - xb} \\ \\ slope = \frac{18 - 2}{ - 3 - 5} = \frac{16}{ - 8} = - 2[/tex]

So B is the correct answer

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PratikshaS PratikshaS · Answer 2 · 2022-06-10T11:57:29+02:00

The slope of the line passing through points A (-3, 18) and B (5, 2) is -2.

The slope of the line of the passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For given example,

We need to find the slope of the points A (-3, 18) and B (5, 2)

Let [tex](x_1,y_1)=(-3,18)[/tex]

and [tex](x_2,y_2)=(5,2)[/tex]

Using the formula of the slope,

[tex]\Rightarrow m=\frac{y_2-y_1}{x_2-x_1} \\\\\Rightarrow m=\frac{2-18}{5-(-3)}\\\\\Rightarrow m=\frac{-16}{8}\\\\ \Rightarrow m=-2[/tex]

Therefore, the slope of the line passing through points A (-3, 18) and B (5, 2) is -2.

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