What is the slope of the line that passes through the points (2, −4) and (8, 0)?
−3/2
−2/3
2/3
3/2
What is the slope of the line that passes through the points (2, −4) and (8, 0)
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What is the slope of the line that passes through the points (2, −4) and (8, 0)?
−3/2
−2/3
2/3
3/2
To find the slope of the line that passes through the points (2, −4) and (8, 0), you can use the slope formula:
[
text{slope} (m) = frac{y_2 – y_1}{x_2 – x_1}
]
In this case:
– ( (x_1, y_1) = (2, -4) )
– ( (x_2, y_2) = (8, 0) )
Now plug in the values:
[
m = frac{0 – (-4)}{8 – 2} = frac{0 + 4}{6} = frac{4}{6} = frac{2}{3}
]
So, the slope of the line is ( frac{2}{3} ).
The correct answer is ( frac{2}{3} ). Great job on working with these concepts! If you have any more questions, feel free to ask!