Question

Ty and Leo are walking along linear routes in a city. On a map of the city, Ty's route passes through the coordinates (-1, 3) and (0, 1) and Leo's route passes through the coordinates (1, 4) and (0, 2). Will Ty and Leo pass through a common coordinate, walk along the same route, or never cross routes? ​

Answer 1

Explanation:

hello .....

note : the slope of the line (AB) is :

m = (YB -YA)/(XB - XA)

in this execice given A (-1, 3) and B(0, 1)

m1= (1-3)/(0+1) so : m1= -2

same method for the line (CD) : m2 = (4-2)/(1-0) and C(1;4) D(0;2)

so: m2 = 2

conclusion : m1 ≠ m2

Will Ty and Leo pass through a common coordinate,