Question

If x and y intercept of a line are 3/2 and 5/4 respectively, then the equation of the line is?

Answer 1

Given that ,

x - intercept (a) = 3/2

y - intercept (b) = 5/4

We know that , the intercept form is given by

$\star \: \: \sf \frac{x}{a} + \frac{y}{b} = 1$

Substitute the known values , we get

$\sf \Rightarrow \frac{x}{ \frac{3}{2} } + \frac{y}{ \frac{5}{4} } = 1 \\ \\ \sf \Rightarrow \frac{2x}{3} + \frac{4y}{5} = 1 \\ \\\sf \Rightarrow 10x + 12y = 15 \\ \\ \sf \Rightarrow10x + 12y - 15 = 0$

$\therefore \sf \bold{ \underline{The \: equation \: of \: the \: line \: is \: 10x + 12y - 15 = 0}}$