What is the slope of the line that passes through the points (1,3) and (2,6)?

2 Answers
Mar 4, 2018

3

Explanation:

Suppose,the equation of the line is y=mx+c,where, m is the slope and c is the intercept.

So, putting the given values of coordinates through which it passes we get,

3=m+c...1

and, 6=2m+c...2

solving, 1 & 2 we get,

m=3

Mar 4, 2018

\qquad \qquad "slope of line between" \ ( 1, 3 ) \quad "and" \quad ( 2, 6 ) \ = \ 3 \ .

Explanation:

"Recall the definition of the slope of a line between two points: "

\quad "slope of line between" \ ( x_1, y_1 ) \quad "and" \quad ( x_2, y_2 ) \ = \ { y_2 - y_1} / { x_2 - x_1}.

"Applying this definition to our two given points, we get:"

\quad "slope of line between" \ ( 1, 3 ) \quad "and" \quad ( 2, 6 ) \ = \ { (6) - (3) } / { (2) - (1) }

\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad = \ { 3 } / { 1 } \ = \ 3.

"So, we conclude:"

\qquad \qquad "slope of line between" \ ( 1, 3 ) \quad "and" \quad ( 2, 6 ) \ = \ 3 \ .