Question

which equation represents a line that passes through the two points in the table? (3,1) (6,6)

Answer 1

Check this solution ..

Answer 2

What is equation of line?

In a coordinate system, the equation of line is an algebraic manner of representing the set of points that together form a line.

How to solve?

given points (3,1)and (6,6)

slope of equation

$\frac{y2-y1}{x2-x1} \\=\frac{6-1}{6-3} \\=\frac{5}{3}$

equation of line becomes

$y-6=\frac{5}{3} (x-3)$

$y=\frac{5x}{3}-5+6\\y=\frac{5x}{3} +1$

hence equation of line becomes $y=\frac{5x}{3} +1$

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