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vazorg [7]
2 years ago
6

Line A has a slope of -4/3. Line B is perpendicular to Line A. What is the slope of Line B?

Mathematics
1 answer:
blsea [12.9K]2 years ago
3 0

Answer:

The answer is 3/4

Step-by-step explanation:

If two lines in perpendicular, then the slope has a relation as slope1 * slope2 = -1. Then if line 1 has slope -4/3 then -4/3 * x = -1, then x = 3/4 which is the slope for the second line.

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2 years ago
The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and
Alex_Xolod [135]

Earlier in this chapter we have expressed linear equations using the standard form Ax + By = C. Now we're going to show another way of expressing linear equations by using the slope-intercept form y = mx + b.

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.

<span><span>y=mx+b</span><span>y=mx+b</span></span>

Where m is the slope and b is the y-intercept.

Example

Graph the equation

<span><span>y−2x=1</span><span>y−2x=1</span></span>

rewrite in slope-intercept form

<span><span>y=2x+1</span><span>y=2x+1</span></span>

Identify the slope and the y-intercept

m = 2 and b = 1

Plot the point corresponding to the y-intercept, (0,1)

The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)

And once you have your second point you can just draw a line through the two points and extend it in both directions.

You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.

Our second point = (1, 3)

<span><span>y−2x=1</span><span>y−2x=1</span></span>

<span><span>3−2⋅1=3−2=1</span><span>3−2⋅1=3−2=1</span></span>

Our second point is a solution to the equation i.e. the line we drew is correct.

A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.

<span><span>y=mx</span><span>y=mx</span></span>

In a direct variation the nonzero number m is called the constant of variation.

You can name a function, f by using the function notion

<span><span>f<span>(x)</span>=mx+b</span><span>f<span>(x)</span>=mx+b</span></span>

f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.

A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.

The most basic function in a family of functions is called the parent function. The parent function of all linear functions is

<span><span>f<span>(x)</span>=x</span></span>

4 0
3 years ago
Write the equation and solve
gulaghasi [49]
What is the X in the problem
6 0
3 years ago
Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should
sergeinik [125]

Answer:

36

Step-by-step explanation:

Take 504 ounces of that lemonade and divide that into 14 cups.

And you get 36 ounces for each cup.

3 0
3 years ago
Read 2 more answers
What is -2 1/8 divided by 1 1/4
damaskus [11]

Answer:

-17/10 ( or 1 7/10)

Step-by-step explanation:

-2 1/8 ÷ 1 1/4  (convert into improper fractions)

= (-17/8) ÷ (5/4)

= (-17/8) x (4/5)

= - (17 x 4) / (8 x 5)

= -68/40

= -17/10 ( or 1 7/10)

4 0
3 years ago
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