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3 years ago

12

What is the y intercept of 2y - 2x = 8

1 answer:

Firdavs [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Write in y = mx + b form

here, b ----> y intercept

2y - 2x = 8

2y = 2x + 8 {Divide the equation by 2}

$\frac{2y}{2}=\frac{2x}{2}+\frac{8}{2}\\$

y = x + 4

y-intercept = 4

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Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

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

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

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

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

<em>This point is on the graph</em>

<em></em>

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

<em>This point is not on the graph</em>

<em></em>

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

<em></em>

<em>This point is not on the graph</em>

<em></em>

<em></em> $(\frac{4}{8},\frac{2}{8})$ <em></em>

<em></em> $x = \frac{4}{8}$ and<em> </em> $y = \frac{2}{8}$ <em></em>

<em>Substitute </em> $\frac{4}{8}$ <em> for x and </em> $\frac{2}{8}$ <em> for y in </em> $y = \frac{1}{2}x$ <em></em>

<em></em> $\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$ <em></em>

<em></em> $\frac{2}{8} = \frac{1 * 4}{8 * 2}$ <em></em>

<em></em> $\frac{2}{8} = \frac{4}{16}$ <em></em>

<em></em> $\frac{1}{4} = \frac{1}{4}$ <em></em>

<em></em>

<em>This point is on the graph</em>

3 0

3 years ago

New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles sou

qwelly [4]

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

$\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}$

$=\frac{ 2\pi }{9}$

Now calculating the distance:

$=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}$

$=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles$

4 0

3 years ago

Joe's new car travel 418 miles on 16 gallons of gas find the unit rate in miles per gallon show your work I will Mark brainiest

seraphim [82]

To find the unit rate, divide total miles by number of gallons:

418 miles / 16 gallons = 26.125 miles per gallon
Round the answer as needed.

5 0

3 years ago

Does anybody know how to do Factor with distribution property (Variables) ?

____ [38]

Hope i was able to help

3 0

3 years ago

Read 2 more answers

I really need help! can someone help me

Jet001 [13]

Answer:

M + $13.72 = $58.22

Step-by-step explanation:

Manny and Sam combined (+) have a total (=) of $58.22

M + S = $58.22

M + $13.72 = $58.22

8 0

3 years ago

Read 2 more answers