Question

Algebra homework

Answer 1

The straight line l is perpendicular to the line y+3x=8 and passes through the point P(3,2). Find the x-intercept of l

Answer 2

answer choices:
1. x-intercept = −3
2. x-intercept = −1
3. x-intercept = −9
4. x-intercept = 9
5. x-intercept = 3

Answer 3

What is a characteristic of two perpendicular lines....hint: it has to do with slope.

Answer 4

their slopes are the opposite of one another

Answer 5

close they are negative reciprocal....the slope for the line given is -3 so the negative reciprocal is 1/3

that is the slope of the line you are looking for. Now you have the slope and a point. Use point slope formula to find the equation of the new line.

Answer 6

@RyanL. point slope formula is \[y-y _{1}=m(x-x _{1})\]

Answer 7

right?

Answer 8

yes you are right

in this case m=1/3
and the point (x1, y1) is (3,2)

if you look closely you can see x1= 3 and y1=2

replace all of that inside the point slope formula and then simplify

Answer 9

@RyanL. I get y=1/3x-2/3

Answer 10

I can't tell if the x-intercept is 3 or -3

Answer 11

you should get

y-2=1/3 ( x - 3)

which then simplifies to

y-2=1/3x - 1

add 2 to both sides and u get

y=1/3x + 1

Now to get the x intercept y must be zero

so now we have

0= 1/3 x + 1

isolate the x by subtracting 1 to both sides

0-1= 1/3 x + 1-1
-1= 1/3 x

now we must get rid of 1/3 and we do this by multiply 3 to it so we must also multiply the left side with 3 now..


-1* 3= 1/3 * 3 x
-3= x

now we have -3

i think its confusing since I didnt write out 1/3 as a neat fractiong using the equation program.\[\frac{ 1 }{ 3 }\]
but hopefully you can follow along.

Answer 12

@RyanL. I understood this perfectly. thank you!