Question

Find the $x$ and $y$ intercepts of the straight line $5x+3y-15=0.$

• A. $3,5$
• B. $-3,5$
• C. $3,-5$
• D. None of these

Answer 1

Answer: (A)

$3,5$

Consider the given equation.

$5x+3y-15=0$

$5x+3y=15$

Divide by $15$ on both sides

$\frac{x}{3}+\frac{y}{5}=1$ $.........\left(1\right)$

We know that

In intercept form of a line

$\frac{x}{a}+\frac{y}{b}=1$ the x-intercept$=a$ and y-intercept$=b$

On comparing above equation, we get

$a=3,b=5$

Hence, the x-intercept and y-intercept of the given equation are $3,5$