Question

Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)?

Find the slope at AB

Answer 1

Slope of AB = 2

Slope of CD = 2

equal slopes means the lines are parallel

Explanation:

Use slope formula

m =
`((y_(2) -y_(1) ))/((x_(2) -x_(1) ))`

line AB =
`((5-1))/((2-0))` =
`(4)/(2)` = 2

line CD -
`((15-7))/((4-0))` =
`(8)/(4)` = 2