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Mathematics 9 Online
OpenStudy (carolina4567):

What is the equation of a horizontal line passing through the point (2, 10)? y = 12 x = −8 y = 10 x = 2

OpenStudy (carolina4567):

Help me anybody

OpenStudy (imstuck):

Your line would be a horizontal line at the y coordinate of your point. Like this:|dw:1409678616460:dw|

OpenStudy (imstuck):

The x coordinate is meaningless here because you want the horizontal line at (2,10).

OpenStudy (imstuck):

Just like if they asked you for the vertical line at that point, the y coordinate would be meaningless and the line would be a vertical line through x = 2, like this:|dw:1409678729670:dw|

OpenStudy (imstuck):

TY for the medal.

OpenStudy (carolina4567):

Thank you so much for explaning. Could u help me with this one ? What is the equation in standard form of the line which passes through (1, −3) and has a slope of 2? 2x − y = 5 2x − y = −5 2x + y = 5 2x + y = −5

OpenStudy (carolina4567):

Np ur a life saver here

OpenStudy (imstuck):

Let me do it then I will post, ok?

OpenStudy (carolina4567):

2x - y first one 2x - y = - 5 second one

OpenStudy (carolina4567):

ok

OpenStudy (carolina4567):

Last one is 2x + y = -5

OpenStudy (carolina4567):

and its ( 1 , -3)

OpenStudy (imstuck):

Got it. The first thing to do is to write it in slope-intercept. Do that by first writing it in point-slope, then rearranging the whole mess. Like this, ok?

OpenStudy (imstuck):

\[y-y _{1}=m(x-x _{1})\]\[y-3=2(x-1)\]That is point-slope. Now let's write it slope-intercept.

OpenStudy (imstuck):

\[y=2x+1\]

OpenStudy (imstuck):

To get it into standard form, which Ax + By = C, just rearrange so the x and y are on the same side of the equals sign. Like this:

OpenStudy (imstuck):

-2x+y = 1

OpenStudy (imstuck):

Oh wait...the point is (1, -3)? I thought you said it was (1,3). That changes everything!

OpenStudy (imstuck):

Re-do!!!

OpenStudy (imstuck):

\[y+3=2(x-1)\]THAT is point-slope!

OpenStudy (imstuck):

y=2x-5 THAT is slope-intercept.

OpenStudy (carolina4567):

Wow you know you should be a professor not a mathlete :) ur brilliant

OpenStudy (imstuck):

Rearranging to get the x and y on the same side of the equals sign gives you this: -2x+y = -5 or 2x-y = 5

OpenStudy (imstuck):

I'm not brilliant, but I am a math teacher!

OpenStudy (carolina4567):

I got one last question i hope u dont mind Use the graph below to answer this question: graph of line going through (-2,-3) and (1,3) Find the average rate of change for the given function from x = 1 to x = 2. -2 negative one-half one-half 2

OpenStudy (imstuck):

Ok, the average rate of change for a line is the slope between the points. So let's graph the line and see what it looks like first, ok?

OpenStudy (carolina4567):

yes

OpenStudy (carolina4567):

OpenStudy (imstuck):

|dw:1409679695209:dw|

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