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3 years ago

PLEASE HELP! What is the y-intercept of the line shown?

Mathematics

2 answers:

USPshnik [31]3 years ago

7 0

Answer:

the answer is y=-1

Brilliant_brown [7]3 years ago

3 0

Answer: -1

Step-by-step explanation: The horizontal line represents the x axis and the verticle line represents the y axis. The line comes into contact with the verticle line at -1, making it your point of interception.

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What is the standard form of the points (-3,4) (2,-6)

Bas_tet [7]

The standard form equation of the line connecting the two points is $2x + y = -2$

Linear equation in a standard form is given as $Ax + By = C$

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

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

where,

$(x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)$

Substitute

$slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2$

Step 2: Find the y-intercept (b) of the line by substituting $(x, y) = (-3,4)$ and $m = -2$ into $y = mx + b$ (slope-intercept form)

$4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2$

Step 3: Write the equation of the line in slope-intercept form by substituting $m = -2$ and $b = -2$ into $y = mx + b$

$y = -2x + (-2)\\y = -2x - 2$

Step 4: Rewrite the equation in standard form $(Ax + By = C)$

$y = -2x - 2\\$

Add $2x$ to both sides

$2x + y = -2x - 2 + 2x\\2x + y = -2$

The standard form equation of the points (-3,4) and (2,-6) is $2x + y = -2$

Learn more about standard form of two points of a linear equation here:

brainly.com/question/18446164

6 0

3 years ago

a ladder 13m long is placed on the ground in such a way that it touches the top of a vertical wall 12m high. find the distance o

Sergio039 [100]

Answer:

by applying Pythagoras theorem;

the ladder(13m) acts as hypotenuse

the wall (12m) acts as height

the distance between the the two is the base

therefore

a² + b² = c²

b²= c²- a²

b²= 169 - 144

b² = 25

√b² = √25

b= 5m

the distance is 5m

8 0

3 years ago

Evaluate |x + y|, for x = 8 and y = -15. A. 7 B. -7 C. 23 D. -23

Ahat [919]

It's A because 8-15 is -7 but the absolute value parenthesis make it positive 7.

6 0

3 years ago

Read 2 more answers

1.20 x 10⁶ 6.0 x 10⁵

omeli [17]

Answer:

$1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000$

Step-by-step explanation:

You move the decimal place over 6 times for the first equation and 5 for the second equation.

Hope this helps! Have a great day! :)

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3 years ago

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Answer:

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3 years ago