Question

the point of intersections of the graph line of x/a+y/b-2=0 with the x axis and y axis respectively are​

Answer 1

Answer:

The point of intersection of graph are: (2a, 0) and (0, 2b)

Step-by-step explanation:

Given equation of line is : $\frac{x}{a}$ + $\frac{y}{b}$ - 2 = 0

We need to find the points where this will intersect with:

Case I:  when the line intersects with the  x-axis.

=> y coordinate = 0

Therefore, on substituting the values,

$\frac{x}{a}$ + $\frac{0}{b}$ - 2 = 0

=>  $\frac{x}{a}$ - 2 = 0

=>  $\frac{x}{a}$  = 2

=> x = 2a

Therefore, the point will be (2a, 0)

Case II :  when the line intersects with the y axis.

=> x coordinate = 0

Therefore, on substituting the values,

$\frac{0}{a}$ + $\frac{y}{b}$ - 2 = 0

=>  0 + $\frac{y}{b}$  = 2

=> y = 2b

Therefore, the point will be (2a, 0) and (0, 2b)

Therefore, the point of intersection of graph are: (2a, 0) and (0, 2b)