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Find an equation of the line passing through the given points. Use function notation to write the equation (1.1) and (2,6)

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To find an equation of the line passing through the given points (1,1) and (2,6), we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is one of the given points.

To find the slope, we can use the formula:

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

where (x1, y1) = (1,1) and (x2, y2) = (2,6).

Substituting these values, we get:

m = (6 - 1)/(2 - 1) = 5

Therefore, the equation of the line passing through the given points is:

y - 1 = 5(x - 1)

Using function notation, we can write this equation as:

f(x) = 5x - 4
User Jsingh
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