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

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Answer 1 · 2018-03-04T08:21:49

#3#

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#

Answer 2 · 2018-03-04T08:47:13

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

# "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 \ . #