Question

Are these lines parallel or perpendicular y=5x+3 and y=-5x+8

Answer 1

When they are perpendicular, its only if when you multiply their gradients, they must give you -1. in this case 5 multiply -5=-25. therefore they are not perpedicular

Answer 2

So they they are parallel

Answer 3

not even parallel.

Answer 4

Two lines are parallel if they have the same gradent. Example. The lines y = 2x + 1 and y = 2x + 3 are parallel, because both have a gradient of 2.

Answer 5

What about these lines x/3-4 and 1/3x+2

Answer 6

what do you think?

Answer 7

Parallel???

Answer 8

Yes , but why?

Answer 9

Because they have the same gradent

Answer 10

\[y=\frac{ x }{ 3 }-4\] and
\[y=\frac{ 1 }{ 3 }x +2\] ?

Answer 11

Dats correct if dats the equations i typed above

Answer 12

wanderful

Answer 13

Alright thank you. And how do I find the x intercept on this problem 3x+4y=8

Answer 14

an x-intercept is a point on the graph where y is zero, and
a y-intercept is a point on the graph where x is zero.

Answer 15

But how do I figure thst out wit that equation

Answer 16

Using the definitions of the intercepts, you should proceed as follows:

x-intercept(s):

y = 0 for the x-intercept(s), so:
3x+4(0)= 8 and solve for x

Answer 17

But how??

Answer 18

Oh sorry...
\[3x+4y=8\]
\[ x-intercept, y=0\]
where you see y, you subtitutes 0
therefore we have
\[3x+4(0)=8\]
\[3x+0=8\]
\[3x=8\]
\[x=\frac{ 8 }{ 3 }\]
\[\therefore (\frac{ 8 }{ 3 };0)\]