Question

MEDAL & FAN

5. Using the points (3, 4) and (-5, 8) find the following:
a. Slope.
b. Point-Slope form of the equation.
c. Slope-intercept form of the equation

Answer 1

I think the slope is 1/-2 but i could be wrong... I'm not too good in this aspect of math.

Answer 2

yep u r right

Answer 3

okay but what about the rest of the problem?

Answer 4

i think the point slope form means that its probably a negative slope

Answer 5

and i think you should try drawing it it might help

Answer 6

ok... the slope is correct...-1/2

the point slope form is

\[y - y_{1} = m(x - x_{1})\]

where \[(x_{1}, y_{1}) \] is the given point

so you just substitute the given information.

Answer 7

y - y1 = m (x - x1)

(x1, y1) being an order pair on the line

You have identified the slope m to be equal to -1/2

Answer 8

slope intercept form is when you use the point slope form and then distribute the -1/2 and collect like terms and get in in the form

\[y = mx + b\]

hope it helps

Answer 9

^ What @campbell_st provided is on point

Answer 10

Thanks guys! Really helped (:

Answer 11

just choose 1 of the 2 points given, for the point slope form. It doesn't matter which one as they both will give the same answer

Answer 12

How do I get Slope Intercept?

Answer 13

well after you get the point slope form... just distribute

and then make y the subject

e.g. if I have a slope of 5 and point (1, 2)

the point slope is

y - 2 = 5(x - 1)

then distribute

y - 2 = 5x - 5

now make y the subject by adding 2 to both sides of the equation

y = 5x - 3

this is slope intercept form

Answer 14

I'm still lost... :/ Sorry

Answer 15

For future reference, to recall what slope-intercept form is and looks like, look at the name of the form

Slope - intercept OR y = mx + b

m is your slope, and recall that b represents the intercept.

So y = mx + b, it tells you your slope and your intercept. Hence the name, slope-intercept form.

Answer 16

So in this case it'd be: y= -1/2 x + 4 ?

Answer 17

which point are you using (3, 4) or (-5, 8)

Answer 18

(3,4)

Answer 19

ok... so the point slope form is

y - 4 = -1/2(x - 3)

does that make sense...?

Answer 20

ok... so when you distribute the -1/2

its

y - 4 = -1/2 x + 3/2

is that ok...?

Answer 21

I got that on my own. but Slope Intercept form is what I'm trying to find.

Answer 22

Knowing the slope m is -1/2, you can go from writing y = mx + b to the incomplete equation

y = -1/2 x + b

Using the ordered pair provided (3, 4), you can substitute the x and y values into the equation to help find b, so

4 = -1/2 (3) + b

4 = -3/2 + b

8/2 + 3/2 = b

b = 11/2

So, knowing b, you can take your incomplete equation y = -1/2 x + b and declare

y = -1/2 x + 11/2

Answer 23

you guys have 2 different answers :/

Answer 24

no we don't

if you have

y - 4 = -1/2 x + 3/2

now add 4 to both sides of the equation.

then you will have the slope intercept form

Answer 25

If our equation y = -1/2 x + 11/2 is correct, the ordered pair provided (-5, 8) should satisfy the equation. Let us try it:

8 = -1/2 (-5) + 11/2

8 = 5/2 + 11/2

8 = 16/2

8 = 8

The equation is verified.

Answer 26

OH! Okay. Thanks guys!