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prisoha [69]
3 years ago
11

Help! this is algebra 1 and idk how to do it lol

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0

Answer:

a. x+6 = 0

b. y-2 = 0

Step-by-step explanation:

Given point is:

(-6,2)

<u>a. Line perpendicular to x-axis:</u>

A line perpendicular to x-axis means that the line is vertical and parallel to y-axis. Any equation parallel to y-axis has the form

x = k

where k is the x-coordinate of the point from which the line passes.

So the required equation is:

x = -6\\x+6 = 0

<u>b. Line perpendicular to y-axis:</u>

A line perpendicular to y-axis will be a horizontal line parallel to x-axis having the equation of the form

y = b

where b is the y-intercept

Required equation is:

y = 2\\y-2=0

Hence,

a. x+6 = 0

b. y-2 = 0

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The y-intercept of linear function (f- g)(x) is (0,9)

<h3>How to determine the y-intercept?</h3>

The table of values is given as:

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The equations of the functions is calculated using:

y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1

So, we have:

f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15

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Also, we have:

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Evaluate

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Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

Read more about linear functions at:

brainly.com/question/24896196

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Step-by-step explanation:

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Step-by-step explanation:

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