Question

Coordinates of the point at which the line 5x + 3y = 15 intersects the x-axis are
(a) (0,3)
(b) (3,0)
(c) (-3,0)
(d) (0,-3)​

Answer 1

Answer:

First of all, we know that any point (x,y) on the y-axis has zero (0) as its x-coordinate; therefore, the x-coordinate of the point of intersection of the line whose equation is 5x + 3y = 15 and the y-axis is 0.

And the answer is (3,0)

Step-by-step explanation:

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Answer 2

Given:

Equation of the line = 5x + 3y = 15

To find:

The coordinates of the point at which the line intersects the x-axis

Solution:

• if the line intersects at the x-axis, the coordinate of the y-axis becomes zero
• so in this case we know the coordinate of the y-axis which is zero
• to find the coordinate of the x-axis we need to put the value of y in the equation and find x

the equation is: 5x + 3y = 15 putting y as 0

5x + 3×0 = 15

5x = 15

x = 15/5

x = 3

The coordinates are (3,0). Thus the answer is Option B