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3 years ago

choose the point slope form of the equation below that represents the like that passes through the points (-6,4) and (2, 0)

Mathematics

1 answer:

mariarad [96]3 years ago

6 0

Answer:

y = -1/2(x -2)

y - 4 = -1/2(x + 6)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

For point-slope form, you need two things:

A point (x1, y1)
The slope (m)

Given:

Points (-6, 4) and (2,0)

You already have at least one point, but you still need to find the slope.

To find the slope (m), use the formula: m = y2 - y1/x2 - x1

Select which point is your (x2, y2) and which is your (x1, y1)
NOTE: It doesn't matter which one you pick as long as you don't "mix-and-match" your x and y-coordinates
For example: you can't choose (-6,0) for a point.

I've chosen:

(x2, y2) = (2, 0)
(x1, y1) = (-6, 4)

Plug in the info into m = y2 - y1/x2 - x1:

m = 0 - 4/2 -(-6) = -4/2 + 6 = -4/8
Simplify: -4/8 = -1/2
m = -1/2

Now plug in the slope and ONE of the points into point-slope form

Tip: It doesn't matter which point you choose but I'd recommend choosing the point with all positive numbers, if you can, to prevent the confusion of double negatives:

Answers could be:

y = -1/2(x -2)
y - 4 = -1/2(x + 6)

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Hello,

Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.

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