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AURORKA [14]
2 years ago
6

What is the equation of a line that passes through the points (0,0) and (5,2)

Mathematics
1 answer:
mafiozo [28]2 years ago
5 0

Answer:

y = 2/5x

Step-by-step explanation:

<u>in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:</u>

y = mx + 0

<u>in order to find the slope, we'll do y2-y1 / x2 - x1:</u>

<u>2-0</u>

5-0

<u>m is 2/5, so the answer is:</u>

y = 2/5x

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|----|----|

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andriy [413]

<u>Hint </u><u>:</u><u>-</u>

  • To find out the equation of the line we can use the point slope form of the line which is y - y_1 = m(x-x_1)

<u>Solution</u><u> </u><u>:</u><u>-</u>

The given point to us is , (0,3) and the slope of the line is 4 . On using the point slope form , we have ,

\implies y - y_1= m(x-x_1) \\\\\implies y-3 = 4(x-0) \\\\\implies y -3 = 4x \\\\\implies \boxed{ 4x - y + 3 =0}

<u>Hence</u><u> the</u><u> </u><u>equation</u><u> </u><u>is </u><u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>y </u><u>+</u><u> </u><u>3</u><u> </u><u>=</u><u> </u><u>0</u><u> </u>

( for graph , see attachment ) .

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2 years ago
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