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03.05.2021 •

Mathematics

4 25°
98°
NOT TO
SCALE
--
The diagram shows three straight lines crossing at a point.
(1) Find the value of x.
(ii) Work out the value of 1

4

25°
98°
NOT TO
SCALE
--
The diagram shows three straight lines crossing at a point.
(1) Find th

Solved

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Ответ:

helo55

12.03.2023

Mathematics

Option A is correct.

Step-by-step explanation:

Given

The point (4, -8)Slope m = 1/4

To determine

What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line(x₁, y₁) is the point

substituting the values m = 1/4 and the point (4, -8)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-8\right)=\frac{1}{4}\left(x-4\right)$

$y+8=\frac{1}{4}\left(x-4\right)$

Subtract 8 from both sides

$y+8-8=\frac{1}{4}\left(x-4\right)-8$

$y=\frac{1}{4}x-1-8$

$y=\frac{1}{4}x-9$

Writing the equation in the standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

$y=\frac{1}{4}x-9$

x=4y+36

x - 4y = 36

Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:

x - 4y = 36

Hence, option A is correct.

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4 25° 98° NOT TO SCALE -- The diagram shows three straight lines crossing at a point. (1) Find the value of x. (ii) Work out the value of 1