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3 years ago

Explain what the vertical line test is and how it is used.

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer:

The vertical line test is a test to determine if a relation or its graph is a function or not. For a relation or graph to be a function, it can have at most a single y-value for each x-value. Thus, a vertical line drawn at any x-position on the graph of a function will intersect the graph at most once.

Step-by-step explanation:

(winks and runs off)

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Write a function rule for the given graph identify the value of y when x=12 write out the steps

joja [24]

Answer:

y=8

Step-by-step explanation:

We need to find the equation for the line.

The first step is to find the slope

We need 2 points (0,2) (2,3)

slope = (y2-y1)/(x2-x1)

= (3-2)/(2-0)

= 1/2

We know the y intercept ( where it crosses the y axis) at 2

Lets use the slope intercept form of the line

y= mx+b

y = 1/2 x+2

If we want to find the value of y when x =12 , substitute the value of x=12

y =1/2 * 12 +2

y = 6+2

y=8

5 0

3 years ago

Help ill give brainlest pls

Mamont248 [21]

Answer:

The answer is C. The translation of a line is a pair of parallel lines.

Step-by-step explanation:

A, B, and D are true. C is not true, and therefore the correct answer.

5 0

2 years ago

Read 2 more answers

Please help! I need this quickly

Lera25 [3.4K]

Answer:

x + 3y = 30

Step-by-step explanation:

We are given that a line contains the points (12,6) and (-3,11).

We want to write the equation of this line in standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0, and a cannot be negative.

Regardless, before we write an equation in slope-intercept form, we must first write the equation in a different form, such as slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.

So first, let's find the slope of the line.
The slope (m) can be found using the formula $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points.

Even though we already have 2 points, let's label their values to avoid any confusion and mistakes when calculating.

$x_1=12\\y_1=6\\x_2=-3\\y_2=11$

Now substitute these values into the formula.

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{11-6}{-3-12}$

Subtract

m= $\frac{5}{-15}$

Simplify

m= $-\frac{1}{3}$

The slope is -1/3

Here is the equation of the line so far in slope-intercept form:

$y=-\frac{1}{3} x + b$

We need to solve for b.

As the equation passes through (12,6) and (-3,11), we can use either one to help solve for b.

Taking (12, 6) for example:

$6=-\frac{1}{3}(12) + b$

Multiply

$6=-\frac{12}{3} + b$

Divide

6 = -4 + b

Add 4 to both sides.

10 = b

Substitute 10 as b in the equation.

$y = -\frac{1}{3} x + 10$

Here is the equation in slope-intercept form, but remember, we want it in standard form.

In standard form, the values of both x and y are on the same side, so let's add -1/3x to both sides.

$\frac{1}{3} x + y = 10$

Remember that a (the coefficient in front of x) has to be an integer, 1/3 is not an integer.

So, let's multiply both sides by 3 to clear the fraction.

$3(\frac{1}{3} x + y) = 3(10)$
Multiply.

x + 3y = 30

Topic: finding the equation of the line (standard form)

See more: brainly.com/question/27575555

4 0

2 years ago

kyle models a sum of two integers. he uses more negative (red) counters than postive (yellow) counters. what do you predict abou

Firdavs [7]

the sign would probably be a negative. imagine this - - - - - - and then + + +, cancel out the negatives and plus then you are left with more negatives than positive so the sign will take the negative sign.

6 0

4 years ago

(5,-2 is on which quardrant

blondinia [14]

Answer:

Quadrant IV, or the fourth quadrant.

Step-by-step explanation:

Plot your points, first plotting 5, then plotting -2.

4 0

3 years ago