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nikitadnepr [17]
3 years ago
15

7. Write an equation of the line that passes through the points (1, 4) and (-2, 10), in point-slope form. ​

Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer:

y = -2x + 6

Step-by-step explanation:

This has sort of the same concept as your earlier question

Use the equation y = mx + b

To find the slope, take the second y value and subtract the first y value. Then take the second x value and subtract the first x value. Divide the answers. You'd get -2 in this case. -2 would be your slope (m).

The substitute any set of x and y values (either (1, 4) or (-2, 10)) and the slope into y = mx + b. You'd get 6 as your y-intercept (b).

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Consider that point A is reflected across the y-axis. What is the distance between point A and the point of its reflection?
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Answer:

C

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

A(3, 4 ) → A'(- 3, 4 )

Since the point A and it's reflection lie on a horizontal line then

distance between = | 3 + 3 | = | 6 | = 6

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3 years ago
Math simplify (7a+5b-2c) + (5a+7b) + (2a-7c) + (2a-5b+3c) algebra
Alekssandra [29.7K]

Answer:

-10a^2+25ab-15ac+12a+12b-2c

Step-by-step explanation:

(7a+5b-2c)+(5a+7b)+(2a-7c)+(2a-5b+3c)

Distribute:

=7a+5b-2c+5a+7b+(2a)(2a)+(2a)(-5)+(2a)(3c)+(-7a)(2a)+(-7a)(-5b)+(-7a)(3c)

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