math help quick plz?

Question

(0, 3 ) (2, -1) um the title says slope sleuth and like it says to find the slopes then write an equation in standard form of the line passing through the given points very specific details because i dont really even understand what a slope or y intercept is =/ thanx

i no i have a lot of math help questions but like i attend an academy that teaches one grade higher then i already am and 2 new lessons each day they explain the 2nd lesson for only 10 minutes and then i forget how to do the homework ... im not telling u guys to give me like the answer juss show me how to it and why im only in 8th grade well i will be in september and yah so dont think im trying to cheat myself thanx =]

Answer 1

Well it would be pretty difficult to give a good answer here, since this forum was really not designed for math questions. I need to use equations and graphs would really help.

Anyway, the slope of a line is the change in y divided by the change in x. (delta x over delta y or rise over run) I wish I could show this to you graphically, but just imagine drawing a right triangle under the line so that one line is perpendicular to the x axis and parallel to the y axis (vertical) and the other is perpendicular to the y axis and parallel to the x axis (horizontal) Then the slope is the length of the vertical line divided by the length of the horizontal line. You can also think of it as the rate of change of y with respect to x. For a simple example, if y=3x, then every time x increases by 1 unit, y will increase by 3 units and the slope is 3..

To find the slope when you're not given an equation but points, just take the difference of the y values over the difference of the x values. The slope will be:
y1-y2
-------
x1-x2
In this case, (3- -1)/(0-2) = 4/ -2 = -2 The slope here is -2.

Now the y-intercept of the line is the value of y when x is 0. When you write the equation for the line in standard form,
y=mx+b,
y=b when x=0.
Here the intercept is actually given to you, (0,3)

So your equation is y=-2x+3. Check this with the other point.
-1= -2*2+3?
-1= -4+3= -1 => It checks.

I really hope this helps. If this doesn't make sense to you still, definitely go talk to your teacher for a little extra help.

Answer 2

slope of line= y2-y1 divided by x2-x1
= -1-3/2-0
= -4/2
= -2
equation of line passing through two points is
y-y1= y2-y1/x2-x1(x-x1)
y-3= -2(x-0)
y-3= -2x
y= -2x+3
on comparing above equation with standard slope -intercept form y= mx+c (here m is slope and c is y intercept)
slope of line = -2 ,y intercept = 3

Answer 3

Y=ax+c
Y=slope,C=intercept
3=(ax0)+c
=0+c=0
-1=(ax2)+c
=2a+c

Answer 4

Since this is a long answer to type out, I am going to cheat and tell you that manda's answer is excellent. I am a math teacher, so I am not kidding you!!

Answer 5

That's not help. That's getting your diploma of the Internet.

Answer 6

the value of slope is=(y/ x)

Answer 7

good manda!!!!