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Mathematics 9 Online
PandaSurvive:

Please help

PandaSurvive:

1 attachment
563blackghost:

Ooo linear equations! Have you changed it into slope-intecept yet?

PandaSurvive:

oh yeahhhhhhhhh

PandaSurvive:

nope, one second e.e

PandaSurvive:

y=(-1/2)x+3

563blackghost:

Nice :) So for two lines to be parallel they much contain the same slope and different y-intercepts. For perpendicular lines the slope are reciprocal. So we have a slope of \(\bf{\large-\frac{1}{2}}\) the parallel slope would be \(\bf{\large-\frac{1}{2}}\). We have a slope of \(\bf{\large-\frac{1}{2}}\) and our perpendicular slope would be flipped fraction and changed sign...\(\bf{\large{2}}\). Which can we determine already is parallel?

PandaSurvive:

line q

563blackghost:

q? are we looking at the same diagram, cause none are stated as line q. https://assets.questioncove.com/attachments/1510169903-5a035d1c7d3539d95416f800-image.png

PandaSurvive:

crap i was on the wrong page e.e ignore that

563blackghost:

XD ohhh ok

PandaSurvive:

the 1st one x'D

563blackghost:

nice :D

563blackghost:

Now if we look at the form of \(\bf{x+2y}\) we know it ends with a slope of \(\bf{-\frac{1}{2}}\) correct? Then any with this form will also end with the same slope. Which contains the same form?

PandaSurvive:

the last one?

563blackghost:

yes!

563blackghost:

Now it's best to change the second and third into slope-intercept form. Can you do that?

PandaSurvive:

2nd is y=2x-4

PandaSurvive:

so x+2y=-2 is Parallel to y=(-1/2)x+3?

563blackghost:

yup.

563blackghost:

If you change it into slope-intercept it will contain the same slope, so yes.

563blackghost:

Correct, the second is `y=2x-4`. How would this be classified? `REMEMBER parallel lines have similar slopes and perpendicular lines are reciprocal.`

PandaSurvive:

perpendicular i think

563blackghost:

Correct!

563blackghost:

Now if we change the third one into slope-intercept it would become \(\large\bf{y=\frac{1}{2}x+1}\). Perpendicular lines are reciprocal `2` and parallel lines are the same `-1/2` the slope of the this equation is neither of these. So it is classified as neither.

PandaSurvive:

ah oki cx

PandaSurvive:

i have two more questions if thats oki, i just need you to explain how to do it though

PandaSurvive:

if you can of course cx

PandaSurvive:

1 attachment
563blackghost:

I would love too, but I have to go and pick up my bro from school and my sis. I won't be back for more than an hour. If you still need help when I get back I can!

PandaSurvive:

Oki thank you cx and hope that goes well <3 cx

563blackghost:

^.^ your welcome

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