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r-ruslan [8.4K]
4 years ago
9

What is the slope of the line through (0,4) and (3,-2)?

Mathematics
1 answer:
Maru [420]4 years ago
8 0

Answer:

The slope would be: -2

Step-by-step explanation:

To find the slope of these two points:

(0,4) and (3,-2)

You would have to use the formula of slope to find it.

The slope formula is:

<h2><u>y₂ - y₁  </u></h2><h2>X₂ - X₁  </h2>

So subsitute in Those two points

(0,4) would be your (x₁ , y₁)

(3,-2) would be your (x₂ , y₂)

So your formula witht he subsituted #'s in it would look like:

<h2><u>-2 - 4</u></h2><h2>3 - 2</h2>

Your answer would be:

<h2><u>-6</u></h2><h2> 3</h2>

Simplified, it is -2

<h3>So your slope is -2</h3>

<u />

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The answer is: -36jk

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What system of equations is shown on the graph below?
erma4kov [3.2K]

Answer:

The equation of the line passing through the points (-2,0) and (0,-4)

\frac{y - y1}{x - x1}  =  \frac{y2 - y1}{x2 - x1}

\frac{y - 0}{x  - ( -  2)}  =  \frac{ - 4 - 0}{0 - ( - 2)}  =  \frac{ - 4}{2}  =  - 2

y =  - 2(x + 2) \\ y =  - 2x - 4

2x + y =  - 4

The equation of the line passing through the points (0,-2) and (4,0)

\frac{y - y1}{x - x1}  =  \frac{y2 - y1}{x2 - x1}  \:

\frac{y - ( - 2)}{x - 0}  =  \frac{0 - ( - 2)}{4 - 0}

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

x - 2y = 4

Option B

x minus 2 y = 4 and 2 x + y = negative 4

4 0
3 years ago
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How is writing expressions with variables and numbers similar to writing expressions using words?
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The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.

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Find the state income tax deducted: gross pay of $978, state income tax 5%.
Helga [31]
$48.90

To find the income ta, find out how many times the income tax percentage goes into 100. Then divide that by whatever the starting amount is, and multiply by how many years the tax is either deducted or added<span />
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What are the transformations to this quadratic function y= (x+4) power of 2 - 8
I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.  

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).

The axis of symmetry occurs at <em>x = h</em>.

<em>a</em> =  determines whether the graph opens up or down, and makes the graph wider or narrower.

<em>h</em> = determines how far left or right the parent function is translated.

<em>k</em> = determines how far up or down the parent function is translated.

Going back to your quadratic function,

          y = (x + 4)² - 8

  • The vertex occrs at (-4, -8)
  • a is assumed to have a value of 1.
  • Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.  
  • Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.

Please mark my answers as the Brainliest, if you find this helpful :)

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2 years ago
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