Question

if the line passing through (4,3)and (2,k) is perpendicular to y=2x+3 then k=​

Answer 1

Please see the attachment

Answer 2

The value of k is 4.

Step-by-step explanation:

Given : If the line passing through (4,3)and (2,k) is perpendicular to y=2x+3 .

To find : The value of k ?

Solution :

We know when two lines are perpendicular then their slopes product is -1.

The slope of line passing through (4,3)and (2,k) is

$m_1=\frac{k-3}{2-4}$

​$m_1=\frac{k-3}{-2}$

The slope of the equation $y=2x+3$ is $m_2=2$

Now, product of their slopes is -1.

i.e. $(\frac{k-3}{-2})(2)=-1$

$-(k-3)=-1$

$k-3=1$

$k=1+3$

$k=4$

Therefore, the value of k is 4.

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