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Alex Ar [27]
3 years ago
12

Find the equation of this line y = [?]x + [ ] Please help

Mathematics
1 answer:
larisa [96]3 years ago
5 0
<h2>Writing an Equation of a Line in Slope-Intercept Form</h2><h3>Answer:</h3>

y = [ -2 ] x + [ 1 ]\\

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about Slope-Intercept Form: <u>brainly.com/question/24599351</u></em>

We must first find the slope.

<em>Please refer to my Answer from this Questions to know more about Slopes of a Line:</em>

  • <em><u>brainly.com/question/24640665</u></em>
  • <em><u>brainly.com/question/24638053</u></em>

We can see the marked points, (0,1) and (4, -7), are on the line.

Solving for the slope:

m = \frac{y_2 -y_1}{x_2 -x_1} \\ m = \frac{-7 -1}{4 -0} \\ m = \frac{-8}{4} \\ m = -2

Now we can now solve for the y-intercept.

<em>Please refer to the second paragraph of my Answer from this Question to know more about y-intercepts: <u>brainly.com/question/24606058</u></em>

We can see that the line intersected the y-axis at (0,1) so b = 1.

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x = 11

Step-by-step explanation:

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We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

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Now, we can substitute the values given by the diagram:

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And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

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