a graph has the points (0, 0) (3, 7), what is the equation of the line?

3 answers

To find the equation of the line passing through the points (0, 0) and (3, 7), we first need to find the slope of the line.

The formula to calculate the slope of a line passing through two points (x1, y1) and (x2, y2) is:

m = (y2 - y1) / (x2 - x1)

Substitute the given points into the formula:

m = (7 - 0) / (3 - 0)
m = 7 / 3
m = 2.33

Now that we have the slope of the line, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (0, 0):

y - 0 = 2.33(x - 0)
y = 2.33x

Therefore, the equation of the line passing through the points (0, 0) and (3, 7) is y = 2.33x.
what is 2.33 as a fraction?
To convert 2.33 to a fraction, we can write it as a mixed number:

2.33 can be written as 2 33/100.

We can simplify the fraction by dividing both the numerator and denominator by the highest common factor, which is 1 in this case:

2 33/100 = 2 33/100 = 2 33/100 = 2 33/100

Therefore, 2.33 as a fraction is 2 33/100, which can also be written as an improper fraction as 233/100.
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