Determine the equivalent slope of the line based on the given conditions.

1. through points (-4, 8) and (2, -3)

is it 11?

Question

Determine the equivalent slope of the line based on the given conditions.

1. through points (-4, 8) and (2, -3)

is it 11?

anonymous · Answer

$$m=\frac{y_2-y_1}{x_2-x_1}$$$$m=\frac{-3-8}{2+4}$$$$m=\frac{-11}{6}$$

moongazer · Answer

if not how do you find it 
also for
 whose equation is 3x – 4y = 12.
whose equation is y = -3.

moongazer · Answer

Thanks! I forgot that the formula for slope is that. :)

anonymous · Answer

for 3x-4y=12 we need to write it in the form y=mx+c

3x-4y=12
     -4y=12-3x
        y=-3+3/4x

So the gradient m=3/4

moongazer · Answer

What is gradient?

anonymous · Answer

the slope

moongazer · Answer

other term for slope is gradient?

anonymous · Answer

correct

moongazer · Answer

Thanks for that information. :)

anonymous · Answer

For y=-3

use the formula of the slope again

m=(y2-y1)/(x2-x1)
   =(-3+3)/(2-1)
   =0/1
   =0

anonymous · Answer

we know that for y=-3 at any x value y=-3

moongazer · Answer

Can we just consider that m=0 in "For y=-3" that "m=0" because there is no x and that means that it is y=0x-3 sorry for my bad grammar.

anonymous · Answer

yes that's another way to do it, :D

moongazer · Answer

how about this? parallel to the line whose equation is x = 2.

anonymous · Answer

Because x=2 has a undetermined (m=some number/0) slope a parallel line would be x=3 or x=4 or x= any number

moongazer · Answer

Sorry but I don't get it. :)

moongazer · Answer

could explain it further?

anonymous · Answer

we can write x=2 as y*0=x-2 okay?

moongazer · Answer

I think I slightly got your explanation when I imagined a graph.

moongazer · Answer

anyway.. please continue to your explanation. :)

anonymous · Answer

and rewriting it in the form y=mx+c we get y=x/0-2/0 but x/0 is undefined so we need to find an equation that has an undefined slope. y=ax/0+c/0 where a and c are constants

anonymous · Answer

so y=ax/0+c/0
    y=(ax+c)/0
    y*0=(ax+c)
    
ax+c=0
ax=-c
 x=-c/a

anonymous · Answer

does this make more sense?

moongazer · Answer

i'll just analyze it wait for a while. :)

moongazer · Answer

I didn't get it.

moongazer · Answer

could you graph it??  and btw what is the answer again. I might get it if I know the answer.

anonymous · Answer

|dw:1326969920159:dw|

The answer is x=-c/a where c is any value and a can be any number but 0

So in the graph we have x=2, a line parallel to it is x=-3 and so is x=-1, x=9, x=11, ...., x=anynumber