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Brums [2.3K]
2 years ago
13

I am confused about this question ​

Mathematics
2 answers:
Afina-wow [57]2 years ago
6 0

Answer:

X = 5

Step-by-step explanation:

When the line is going vertically down, the x-intercept is always the equation of the line.

AlexFokin [52]2 years ago
6 0
<h2>Linear Equations of Vertical Lines</h2>

Linear equations are typically organized in slope-intercept form:

y=mx+b

  • <em>m</em> = slope
  • <em>b</em> = y-intercept (the value of <em>y</em> when the line passes through the y-axis)

However, for vertical line equations, we write them a little differently:

x=d

  • <em>d</em> = the x-intercept (the value of <em>x</em> when the line passes through the x-axis)

We write equations for vertical lines like this because <em>they might not always have a y-intercept</em>.

<h2>Solving the Question</h2>

We're given:

  • Line L passes through the x-axis when <em>x</em> = 5

This means that the x-intercept of the line is 5. Plug this into x=d:

x=d

x=5

<h2>Answer</h2>

x=5

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grin007 [14]
Fist of all, y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x

Thus: y:x = 8:3

The problem would be finding y when x = 45

Let us proceed on using the previous equation and substitute x with 45 which would look like this:

y:45 = 8:3

Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:

y/45 = 8/3

Then we proceed with a cross multiplication where the equation becomes like as what is shown below:

3y = 45 * 8

From there, you can solve it by multiplying 45 and 8 then dividing the product with 3 to get y

3y = 360

y = 120

Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:

y = 8 when x = 3 : y = ? when x = 45

This would make you understand what approach you can use to solve the given problem.
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