Please help me graph question

Mathematics

1 answer:

iogann1982 [59]2 years ago

4 0

Answer:

Step-by-step explanation:

Put in the form of y = Ax + B

x + 2y = 10

2y = -x + 10

y = -½x + 5

has a slope of -½ and a y intercept of 5

-x + 4y = 8

4y = x + 8

y = ¼x + 2

has a slope of ¼ and a y intercept of 2

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Sladkaya [172]

Answer:7yd

Step-by-step explanation:

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2 years ago

Find the equation of the line that passes through points (3,5) and (-6,2). Write the equation in slope intercept form.

andrezito [222]

1) gradient of line = Δ y ÷ Δ x
= (5 -2) ÷ (3 - (-6))
= ¹/₃

using the point-slope form (y-y₁) = m(x-x₁)
using (3,5)
(y - 5) = ¹/₃ (x -3)
 y - 5 = ¹/₃x - 1
⇒ y = ¹/₃ x + 4 [OPTION D]

2) y = 2x + 5 .... (1)
 y = ¹/₂ x + 6 .... (2)

by substituting y in (1) for y in (2)

2x + 5 = ¹/₂ x + 6
 ³/₂ x = 1
x = ²/₃

by substituting found x (2)

 y = ¹/₂ (²/₃) + 6
y = ¹⁹/₃

∴ common point is (²/₃ , ¹⁹/₃) thus answer is FALSE [OPTION B]

3) Yes [OPTION A]
This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.

4) No [OPTION B]
Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other. Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.

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2 years ago

Please help! hurry, It's 8 pm and I'm tired :(

Murrr4er [49]

Answer:

I’m pretty sure x=6

Step-by-step explanation:

3 0

2 years ago

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Dmitrij [34]

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