Question

Suppose a, b are two positive numbers. Find an equation for the line in space passing through a on the x-axis and b on the y-axis.

Answer 1

Answer:

$y=-2x+2$

Step-by-step explanation:

1) Let a=1, b=2. Therefore we have two pair of points (1,0) and (0,2) since a must be on x-axis and b on y axis.

Equation of the line: $y=mx+b$

$m=\frac{0-2}{1-0}\Rightarrow m=-2$

2) Since 2 is the point on the y-axis, then b=2 we can say that

$y=-2x+2$