Question

Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the x-axis and y-axis: `(2x)/(5) + y/(2)` = 1

Answer 1

`(2x)/(5) + y/(2)` = 1

⇒ `y/(2) = 1 - (2x)/(5)`

⇒ `y/(2) = (5 - 2x)/(5)`

⇒ y = `(10 - 4x)/(5)`

When x = 0, y = `(10 - 4(0))/(5)` = 2

When x = 5, y = `(10 - 4(5))/(5)` = -2

When x = `(5)/(2), y = (10 - 4(5/2))/(5)` = 0

x	0	5	`(5)/(2)`
y	2	-2	0

Plotting the points (0, 2), (5, -2) and `(5/2 , 0)`, we get a line segment as shown in the figure.

The line meets the x-axis at `(5/2, 0)` and y-axis at (0, 2).