Question

Find the corordinates of the point where the line
2x- y =3 meets both the axes​

Answer 1

(1.5, 0) and (0, -3)

Explanation:

You ask for x-intercept and y-intercept.

x-intercept is for y = 0

y-intercept is for x = 0.

Calculate:

x-intercept

put y = 0 to the equation of a line:

2x - 0 = 3

2x = 3 divide both sides by 2

x = 1.5

y-intercept

put x = 0 to the equation of a line:

2(0) - y = 3

0 - y = 3

-y = 3 change the signs

y = -3

Answer 2

see explanation

Explanation:

Given

2x - y = 3

Where the line crosses the x- axis the y- coordinate is zero. Substitute y = 0 into the equation and solve for x

2x - 0 = 3

2x = 3 ( divide both sides by 2 )

x =
`(3)/(2)` ⇒ (
`(3)/(2)`, 0 ) ← x- intercept

Where the line crosses the y- axis the x- coordinate is zero. Substitute x = 0 into the equation and solve for y

0 - y = 3 ( multiply both sides by - 1 )

y = - 3 ⇒ (0, - 3 ) ← y- intercept