Find the slope of the line that passes through the points (2,-8) and (3,1).
1 answer:
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Answer: The second choice is answer.
Step-by-step explanation:
<h3>The first line (Blue One)</h3> (Slope is -1 and intercepts y at -3)
(Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)
Because there are choices, it's easy to notice.
The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)
The second one, x = 1 and almost 2 is right.
The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)
The fourth one, just like the first one... x = 4 almost 5
<h3>Or solve the equations.</h3>Substitute y=2x-8 in y=-x-3
Look at the value of x then find the answer that matches the value of x.
Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)
So the answer is the second choice.
The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
<h3>How to determine the simplified product?</h3>The complete question is added as an attachment
From the attached figure, the product expression is:
2√8x³(3√10x⁴ - x√5x²)
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 2 *2x√2x(3x²√10 - x²√5)
Evaluate the products
2√8x³(3√10x⁴ - x√5x²) = 4x√2x(3x²√10 - x²√5)
Open the bracket
2√8x³(3√10x⁴ - x√5x²) = 12x³√20x - 4x³√10x
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 24x³√5x - 4x³√10x
Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
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<span>(Decimal: 217.5)
</span>
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~ Hope this helps