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NeX [460]
3 years ago
11

Write the equation of the line in fully simplified slope-intercept form…. pleaseee help

Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer:

y = -x + 2

Step-by-step explanation:

Given the two points on the graph, (-2, 4) and (0, 2), we can start by solving for the slope of the line.

Let (x₁, y₁) = (-2, 4)

     (x₂, y₂) = (0, 2)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 4) / [0 - (-2)]

m = -2/ (0 + 2)

m =  -2/2  = -1

Therefore, the <u>slope</u> of the line is -1.

Next, we need to determine the <u>y-intercep</u>t of the line, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it is evident that it crosses the y-axis at point (0, 2), which happens to be one of the points we used to solve for the slope. Its y-coordinate, y = 2, is what we will use as the value of b in the slope-intercept form, y = mx + b.

Therefore, given the <u>slope</u>, <em>m</em> = -1, and the<u> y-intercept</u>, <em>b</em> = 2, the equation of the line is:  

<h3>y = -x + 2</h3>
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Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Reflecte
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Answer:

  1. y = -(x-1)² . . . . reflected over the x-axis
  2. y = (x-1)² +1 . . . . translated up by 1 unit
  3. y = (x+1)² . . . . reflected over the y-axis
  4. y = (x-2)² . . . . translated right by 1 unit
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Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:

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Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.

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