State whether the given statement is true or false:
The slope of the line perpendicular to $5 x + 3 y + 1 = 0$ is $\frac{4}{5}$ .

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
Two lines are perpendicular only when the product of their slopes $m_{1} . m_{2} = - 1$ .
To find the slope $m_{1}$ of first line $5 x + 3 y + 1 = 0$ , we need to rewrite in the standard form $y = m x + c$
$y = - \frac{5}{3} x - \frac{1}{3}$ and we have $m_{1} = - \frac{5}{3}$
Hence, the slope of the other line is $\frac{3}{5}$ .

Suggest Corrections

Similar questions

(x + 3 y)

x^{2} + 6 x y + 9 y^{2}

$x$	$0$	$1$	$2$	$3$	$4$
$y$	$2$	$3$	$4$	$5$	$6$

(2 a - \frac{1}{a})

4 a^{2} - 4 + \frac{1}{a^{2}}

State whether the given statement is true or false:

The probability of an event will be greater than 0 and less than 1.