Question

what is the slope of the line that passes through the points (2 3) and (–2 6)?
A. -3/2
B. -3/4
C. 3/4
D. 0

Answer 1

Answer: Choice B) -3/4

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Work Shown

Slope Formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-2-2)
m = (3)/(-4)
m = -3/4

Basically what you do is subtract the y coordinates (6 and 3) and then do the same for the x coordinates (-2 and 2) in the same order. After subtracting, you divide the differences. Reduce the fraction if possible. 

The slope of -3/4 means each time we go down 3, we move to the right 4 units. This line is going downhill as you read it from left to right.

Answer 2

Hello!

Answer:

B. -3/4

*The answer must have a fraction.*

Step-by-step explanation:

Slope: $\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}$

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

Slope is -3/4

Answer is -3/4

Hope this helps!

Thanks!

-Charlie

Have a great day!

:)

:D