Points A(1,2), B(2,3), and C (3,6) lie in the coordinate plane. What is the ratio of the slope of line AB to the slope of line AC?

1 Answer
Jim G.
Oct 4, 2016

#m_(AB):m_(AC)=1:2#

Explanation:

Before we can consider the ratio, we require to find the slope of AB and AC.

To calculate the slope, use the #color(blue)"gradient formula"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(a/a)|)))#
where m represents the slope and #(x_1,y_1),(x_2,y_2)" are 2 coordinate points"#

For A(1 ,2) and B(2,3)

#rArrm_(AB)=(3-2)/(2-1)=1/1=1#

For A(1 ,2) and C(3 ,6)

#rArrm_(AC)=(6-2)/(3-1)=4/2=2#

#rArrm_(AB) : m_(AC)=1:2#

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