Question

??? What is the equation of the line passing through (2, –2) and perpendicular to the line y = –x + 3 in slope-intercept form?

Answer 1

Can you tell me what is the slope of perpendicular line given:

Hint : Tell me the coefficient of x..

Answer 2

??

Answer 3

2

Answer 4

In y = -x + 3

tell me the coefficient of x here..

Answer 5

-x?

Answer 6

It is the number attached to the x..

If I say -2x then -2 is the coefficient of x..

Likewise what is the coefficient of x in y = -x + 3??

Answer 7

-2?

Answer 8

How -2??

You are given with y = -x + 3

Here, you can write it as: y = (-1)x + 3

Now can you tell me the coefficient or not??

Answer 9

-1

Answer 10

Yes..

This is the slope of the given line..

So, firstly we have to find the slope of perpendicular line:

\[\large m_1 m_2 = -1\]

Here, \(m_1 = -1\), can you find \(m_2 \) from here??/

Answer 11

-2 ?? o.O?

Answer 12

you will get \(m_2 = 1\)

So put in the equation:

\[\large y - y_1 = m(x - x_1)\]

\[y + 2 = 1(x - 2) \implies y + 2 = x - 2 \implies x - y = 4\]

Answer 13

oh so that would be y=x+4 right?