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worty [1.4K]
2 years ago
13

Find the equation of the line passing through points (-4,2) and (1,-6)

Mathematics
1 answer:
anzhelika [568]2 years ago
8 0

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8.  Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope.  Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

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Randolph is creating rectangle WXYZ so that WX has an equation of y = 1 over 4x + 4. Segment XY must pass through the point (−2,
Sliva [168]

Answer:

The correct option is;

c.) y - 6 = -4(x - (-2))

Step-by-step explanation:

We note that the figure Randolph is creating is a rectangle, therefore, we have;

\overline{WX}\perp \overline{XY}, therefore, we have;

\overline{WX} = \dfrac{1}{4} x + 4

∴ Slope \overline{WX} = 1/4

\overline{XY} must pas through the point (-2, 6)

Given that \overline{WX}\perp \overline{XY}, we have;

Slope \ \overline{XY} = \dfrac{-1}{Slope \ \overline{WX}}

\dfrac{y - 6}{x - (-2)} = -1/\dfrac{1}{4}  = -4

y - 6 = -4(x - (-2))

Therefore, the correct option is c.) y - 6 = -4(x - (-2)).

6 0
3 years ago
Find the product (7 lbs 12 oz) × 3
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7 0
3 years ago
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-8(-2 1/3)-(2(4) to the power of 2
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Answer:

-13.333

Step-by-step explanation:

This is the answer to:

-8(-2 1/3)-(2(4) to the power of 2

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bearhunter [10]

Answer:

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Step-by-step explanation:

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Find the slope between (3,2) and (-2,3)
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