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Kazeer [188]
3 years ago
7

. Write an equation of the line that passes through the given points use point

Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

y = \frac{1}{3}x+\frac{1}{3}

Step-by-step explanation:

First, we need to figure out a linear equation. When given two points - (x_{1}, y_{1})and (x_{2}, y_{2}) - first subtract y_{1} from y_{2} and and x_{1} from x_{2}. So in your situation, it will be 2-1 and 5-2. That equals 1 and 3, so your slope (how much the line moves up/down per unit) will be \frac{1}{3} x.

Next, we need to find the y-intercept. To solve using point-slope form, we will plug our numbers in:

y-y_{1} = m(x-x_{1})\\y-1=\frac{1}{3}(x-2)\\y-1=\frac{1}{3}x-\frac{2}{3}\\/+1=//+1\\y = \frac{1}{3}x+\frac{1}{3}

So our final equation is y = \frac{1}{3}x+\frac{1}{3}, which passes through both (2,1) and (5,2). Hope this helps :)

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