Question

The line passing through (2,b) and (4,6) is parallel to the line joining (1,4) and (-1,7). Find b

Answer 1

So since the line containing the first pair of points is parallel to the line containing the second pair of points
Then the lines have the same slope
So just find the slope of both lines and set them equal
Then solve for b

Answer 2

\[\frac{y_1-y_2}{x_1-x_2}=\frac{y'_1-y'_2}{x'_1-x'_2}\]
Where
\[(x_1=2,y_1=b),(x_2=4,y_2=6) \text{ and } (x'_1=1,y'_1=4), (x'_2=-1,y'_2=7)\]

Answer 3

okay got it thanks

Answer 4

:) cool! :)