Question

Without drawing the graph, find the coordinates of its intersection with the

x - and y -axes.
y = −2.4x +9.6
The intersection with the x − axis is the point with coordinates ( _,_ ).
The intersection with the y − axis is the point with coordinates(_,_)

Answer 1

at X axis, Y=0 and at Y axis, X=0

accordingly substitute the value in the equation and find coordinates

Answer 2

The intersection with the x-axis is the point with coordinates (4, 0)

The intersection with the y-axis is the point with coordinates (0, 9.6)

Explanation:

The line intercepts (crosses) the x-axis when y = 0.

Therefore, substitute y = 0 into the equation and solve for x:

⇒ −2.4x + 9.6 = 0

⇒ −2.4x = -9.6

⇒ x = -9.6 ÷ −2.4

⇒ x = 4

So, the intersection with the x-axis is the point with coordinates (4, 0)

The line intercepts (crosses) the y-axis when x = 0.

Therefore, substitute x = 0 into the equation and solve for y:

⇒ y = −2.4(0) + 9.6

⇒ y = 9.6

So, the intersection with the y-axis is the point with coordinates (0, 9.6)