Question

The coordinate of the point at which the line 5x+3y=15 intersects the x-axis are____________ I NEED THE CORRECT ANSWER OR I WILL REPORT NO IRRELEVANT ANSWERS PLZ

Answer 1

The coordinates of the point at which the line 5x + 3y = 15 intersects the x-axis are (3, 0).

Concept to be used:

The straight lines of the form $\dfrac{x}{a}+\dfrac{y}{b}=1$ intersects the x-axis at (a, 0) and the y-axis at (0, b).

Step-by-step explanation:

Here, the given straight line is

5x + 3y = 15

In order to express it in the form $\dfrac{x}{a}+\dfrac{y}{b}=1$, we divide both sides by 15. We get

$\dfrac{5x+3y}{15}=\dfrac{15}{15}$

⇒ $\dfrac{5x}{15}+\dfrac{3y}{15}=1$

⇒ $\dfrac{x}{3}+\dfrac{y}{5}=1$

From this we can conclude that the given straight line intersects the x-axis at (3, 0).

Note:

However the given straight line 5x + 3y = 15 intersects the y-axis at (0, 5).

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