Question

Graphing Equation questions.....can you help?

Answer 1

I have 5 questions.

Answer 2

shoot

Answer 3

Which is an equation is point-slope form of the line that passes through the points (4,5) and (-3, -1)?
A. y+3=7/6(x+1)
B. y+1=6/5(x+3)
C. y+1=6/7(x+3)
D. y-1=6/7(x-3)

Answer 4

start by finding the 'slope'

Answer 5

remember the slope formula ?

Answer 6

Ok, I am not very well with finding slopes and stuff. Can you explain?

Answer 7

Sorry...

Answer 8

slope between two points = (change in y)/(change in x)

Answer 9

(4, 5) and (-3, -1)
x1 y1 x2 y2

Answer 10

change in y = y1-y2 = 5--1 = 6
change in x = x1-x2 = 4--3 = 7

so, slope = 6/7

Answer 11

Ok.

Answer 12

next, use the point slope form of line :
\(y - y_1 = m(x - x_1)\)

\(m = slope = 6/7\)

Answer 13

plugin the second point :
(-3, -1)
x1 y1

Answer 14

plug them in the equation,
wat do u get ?

Answer 15

I'm so sorry I don't understand. By plug do you mean subtract them from each other? Like -3 subtract -1?

Answer 16

plug x1, y1 and m values in the equation of line

Answer 17

x1 = -3
y1 = -1
m = 6/7

Answer 18

\(\large y - y_1 = m(x-x_1) \)

plug the values :

\(\large y - -1 = 6/7(x--3) \)

\(\large y +1 = 6/7(x+3) \)

Answer 19

Ok. I see lol. This is very confusing, especially when you are just starting off with this stuff. Hopefully in the future I'll be better at this stuff. So the answer to the problem is option C: y+1=6/7(X+3) Thanks for explaining. I have four more left, are you willing to help me with those too?

Answer 20

This one is with a graph.

Answer 21

Which is an equation of the given line in standard form?

A.
–8x + 9y = 23

B.
–8x + 9y = –23

C.
–8x + 7y = 25

D.
–9x + 8y = –23

Answer 22

Oh and there goes you're medal!

Answer 23

look at the graph,
do u see two points with their coordinates given on the line ?

Answer 24

below are the points on line :

\(\large (-4, -1)\)

\(\large (\frac{1}{2}, 3)\)

Answer 25

can u find 'slope' between them ?
use the same method we have used before

Answer 26

slope = (change in y) / (change in x)

Answer 27

change in y = y2 - y1 = 3--1 = 4
change in x = x2 - x1 = 1/2--4 = 9/2

so slope = 4/9/2 = 8/9

Answer 28

Yes

Answer 29

Ok I see now

Answer 30

next, use any one of the given points
and write the equation in point-slope form

Answer 31

lets take the point (-4, -1)
and slope = 8/9

Answer 32

see if u can write the equation of line ?

Answer 33

Ok