Question

Help with Slope?

Answer 1

Is there a problem to work?

Answer 2

Yea, here is it I already have my answer for it -3/4 is that correct?

Answer 3

m=(1-3)/(4-0)= -2/4= -1/2

Answer 4

@electrokid Can you explain how you did that ?

Answer 5

well, i took each grid as "1" unit
m=(y2-y1)/(x2-x1)
it is a st line so, should be same

Answer 6

oh.. i took the y-intercept as "3" instead of "4".. got ya
so, it is "-3/4"

Answer 7

eyes are deceptive

Answer 8

@phi what does it mean to solve for y in terms of x? And how do I figure out the slope of a line with some like y=(-3/4)x-2?

Answer 9

two questions

if you are given
y = mx +b form (in other words you see
y = number times x plus another number
the number in front of the x (the coefficient of the x term)
is the slope
(that is why people put the equation in this form, so they can "read off" the slope

Answer 10

solve for y in terms of x

that means do algebra so y is on the left side of the = and everything else is on the right side

for example if you had
3x+4y= -8
that is the equation of a line. But it is not obvious what its slope is.
if we solve for y, we would do this:

add -3x to both sides
3x-3x + 4y= -3x -8
or
4y= -3x-8 (that step "moved" 3x to the right side)
now divide both sides by 4 (both sides, all terms)
4y/4 = -3x/4 -8/4
y= (-3/4)x -2

we have solved for y in terms of x

Answer 11

So for something like 6x+3y=81 it would be

6x+3y=81
-6x -6x
3y/3 = - 6x/3 - 81/3
y = - 6x/3 - 81/3
y = -2x - 27?

Answer 12

actually, I messed it up, one moment

Answer 13

6x+3y=81
-6x -6x
3y/3 = - 6x/3 + 81/3
y = - 6x/3 + 81/3
y = -2x + 27?

That should be correct

Answer 14

yes, perfect.

slope is -2 and y-intercept is 27

Answer 15

:D Awesome, I'm gonna go try it out a little