Two straight lines l and m pass through the point (1,1). Slope of line l passing through the point (0,a) is less than the slope of the line m that passes through the point(0,b).
- Quantity A : a
- Quantity B : b
Options:
- Quantity A is greater than Quantity B
- Quantity B is greater than Quantity A
- Quantity A is equal to Quantity B
- Relationship cannot be determined
If I have envisioned this properly, the figure looks something like this:
I think answer should be B, but it is given as A ie, a>b how is that possible?
Using the two point form for both lines,
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$
Equation for the lines are:
$y=(1-a)x + a$ for line $l$
$y=(1-b)x + b$ for line $m$
Slope of line $l$ is less than that of $m$:
$1-a < 1-b$
$a > b$