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tamaranim1 [39]
3 years ago
15

This is supposed to be a table btw

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

Answer:

The equation is y = 3x + 2

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope of the line which represent the equation
  • b is the y-intercept which is value y at x = 0

The rule of the slope is m = Δy/Δx, where

  • Δx = x2 - x1 and Δy = y2 - y1
  • (x1, y1) and (x2, y2) are two points on the line.

∵ x is the input

∵ Input: 0, 1, 2, 3, 4

∵ y is the output

∵ output: 2, 5, 8, 11, 14

∴ The points on the line are (0, 2), (1, 5), (2, 8), (3, 11), and (4, 14)

→ Use any two points to find m

∵ x1 = 0 and y1 = 2

∵ x2 = 1 and y2 = 5

→ Find Δx and Δy

∴ Δx = 1 - 0 = 1

∴ Δy = 5 - 2 = 3

→ Substitute them in the rule of the slope above

∵ m = \frac{3}{1}

∴ m = 3

∵ b is the value of y at x = 0

∵ At x = 0, y = 2

∴ b = 2

→ Substitute the values of m and b in the form of the equation above

∵ y = 3x + 2

∴ The equation is y = 3x + 2

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Consider the formula for the slope between two coordinates
krek1111 [17]

The following equations is equivalent to the slope formula is A) y₂= m(x₂-x₁) + y₁.

<h3>What is slope?</h3>

The angle of inclination of a line with respect to the horizontal is quantified. In analytical geometry, a line, ray, or line segment's slope is the proportion of the vertical to the horizontal distance between any two points ("slope equals rise over run").

<h3>What is equation?</h3>

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. We discover that the variable x has a value of 7 after solving this equation.

Given that,

Take a look at the formula below for the slope between two coordinate locations, m.

m = \frac{y_{2}- y_{1} }{x_{2}-x_{1}  }

Here, slope is

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Where m is the slope and y₁ and y₂ and x₁ and x₂ are coordinates of the axis.

The first step is to multiply x₂-x₁ on both sides in order to acquire y₂ on its own.

so you must add y₁ to both sides in order to get y₂ alone.

m(x₂-x₁) +y₁ = y₂.

Therefore, the following equations is equivalent to the slope formula is A) y₂ = m(x₂-x₁) + y₁.

To know more about the slope, visit:

brainly.com/question/16508963

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then Linz shows up on the last day, and she's got 25% off from that price plus a beanie baby and a free garden hose.

so if the price is reduced by 25%, then the sale price is just 75% of whatever it was, but it was already reduced to 0.8x, what is 75% of 0.8x?

(75/100) * 0.8x, or 0.75 * 0.8x, which is 0.6x, now 0.6 * 100 is 60 to change it to percentage format, or 60% overall percentage reduction from the original price.
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