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Shalnov [3]
2 years ago
9

Write equation of the line below​

Mathematics
1 answer:
vodka [1.7K]2 years ago
6 0

Hi there!

We are given two ordered pairs which are:

  • (0,0)
  • (5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

  • Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

Since we have two given points, we can substitute them in the formula.

\large{m =  \frac{4 - 0}{5 - 0} } \\  \large \boxed{m =  \frac{4}{5} }

2. Form an equation.

  • Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

\large \boxed{y = mx + b}

Where <u>m</u><u> </u><u>=</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u> and <u>b</u><u> </u><u>=</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>.</u> We substitute m = 4/5.

\large{y =  \frac{4}{5} x + b}

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

\large \boxed{y =  \frac{4}{5} x}

3. Answer

  • Therefore the equation of the line is y = 4x/5.
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