Question

In slope-intercept form what is the line that is perpendicular to 4x + 2y = 9 passing thru (-3, 4)

Answer 1

@Nnesha

Answer 2

I got
\[\large y = -\frac{1}{2}x + \frac{9}{2}\]

Answer 3

hmmm what was your first step ??
how did you get 1 at the numerator

Answer 4

I found out the slope

Answer 5

ohh i see do you mean that's the equation of perpendicular line ??

Answer 6

I am not sure that's what the question says

Answer 7

oh i thought
u rewrite the first equation in slope intercept nvm wait a sec let me check it

Answer 8

perpendicular lines would have the `different ` y-intercept
slope is correct how did you get 9/2 for y-intercept ?

Answer 9

`2y = 9 - 4x` \(\leftarrow\) that's what I got after moving the 4x to the right side of equal sign.

To isolate \(y\) I divide both sides by \(2\) and then got \(\frac{9}{2}\).

Answer 10

alright
9/2 is y-intercept of 4x+2y=9 equation
for perpendicular equation we need to sub given point which is (-3,4)

Answer 11

\[\rm y=-\frac{1}{2}x+b\] this is our new equation
substitute x and y for (-3,4) to find y-intercept

Answer 12

There are a few steps to this problem.
1. Rearrange your original equation from the form y = mx + b. The whole point of that was to find the gradient of your original equation, m.
2. Now, you know the gradient of your perpendicular equation will be -1/m, right?
3. Use your new perpendicular gradient, along with the point given in the question, and plug them into the point-slope formula.

Answer 13

into the form y = mx + b, I mean

Answer 14

\[4= -\frac{ 1 }{ 2 }(-3) + b \rightarrow 4 = \frac{3}{2} + b \rightarrow b = \frac{5}{2}\]

Answer 15

looks good that's the y-intercept of perpendicular line

Answer 16

so our slope-int form would be:
\[\large \tt y = -\frac{1}{2}x + \frac{5}{2}\]

Answer 17

yes right
parallel lines = same slope different y-intercept
perpendicular lines = slope(negative reciprocal )

Answer 18

Thanks!

Answer 19

wait.. wouldn't the slope be 1/2x instead of -1/2x?

Answer 20

@Nnesha

Answer 21

opps ye that's correct first one is negative so 2nd one would be positive
sorry i should mentioned that

Answer 22

no prob :)