Im stuck with this problem. Write an equation in the slope intercept form (y=mx+b) ..more below..?

Question

for the line that passes through points (-3,6) and (2,-4). thanks for everybodys help.

Answer 1

its simple really think of it as taking a walk in the park or whatever.

btw

y=mx+b is a equation for graphing here is how i solve these.

btw you will get alot of help if you have a graphing calc.

b is the y intercept.

m is the slope

y is the coordinate.

you need to find the slope so use this equation. m=y2-y1/x2-x1

i know too many y's and x's so simplify y2 is point b(-4) and y1 is point b 6 and same for the x2 is 2 and x1 is -3. m=-4-6/2-(-3) solve.

you get -4 which is the slope!

y=-4x+b now solve for the y intercept!

take any of the two coordinates and put them in the equation.

-3=-4(6)+b now solv the equation. and you get 21=b or (0,21) so fill it in y=-4x+21 now try it by putting a pair of coordinates in the equation.

-3=-4(6)+21 and solve this equation and you get -3=-3 which is equal to each other. this is a cool but long way any one with a better way welcome come on in! lol good luck.

Answer 2

you need to know m (slope) and b (y-intercept)

slope = (y - y) / (x - x) = (6 - -4) / (-3 - 2) = 10 / -5 = -2

so m = -2

we know that when x = 2, y = -4, so we can use this to find b

y = -2x + b

-4 = -2(2) + b

--4 = -4 + b

b = 0

so y = -2x + 0, or

y = -2x

(you can check both points to make sure this satisfies them both...)

Answer 3

First, you will need to find the slope (or 'm' in the equation). To do this, find the distance between them along the Y axis and divide it by the distance between them along the X axis (rise over run). You can do this by drawing a right triangle using the two points, or subtracting the Y values from eachother, and then subtracting the X values from eachother.

-3 - 2 = -5 <--- X axis

6- -4 = 10 <--- Y axis

The slope would be:

10(rise) / -5 (run) = -2

Now that you have the slope (m) you have to find b.

To do this you insert one of the given points in for your X and Y in the equation

y = mx + b

y = -2x + b (we already found m)

6 = -2(-3) + b (using the points (-3,6) given in the problem)

6 = 6 + b

subtract 6 to both sides

0 = b

This gives us our completed equation:

y = -2x + 0 or y = -2x

You can use the other point to check your work

y = -2x + b

-4 = -2(2) + b (using the points (2, -4) given in the problem)

-4 = -4 + b

add 4 to both sides

0 = b

y = -2x + 0  or

y = -2x

Answer 4

well, you can find the slope.

-3 to 2 is a run of +5

6 to -4 is a rise of -10

the slope is -10/5, or -2.

After that I forget.

EDIT: Since it goes through the origin, there is no b?