Question

Which is an equation in point-slope form of the line that passes through the points (7, 5) and (-4, -1)?

A. y + 1 = 6/7(x + 4)
B. y + 1 = 6/11(x + 4)
C. y + 4 = 11/6(x + 1)
D. y - 1 = 6/11(x - 4)

Answer 1

\[y-y _{1}/x-x _{1}\]

Answer 2

so say subtracting the second from the first we have 5-(-1) / 7-(-4) the y values over the x values

Answer 3

i still dont understand

Answer 4

slope is rise over run or y over x right?

Answer 5

yea

Answer 6

so a slope of 1/3 would be up 1 on the y axis and right 3 which is the x axis

Answer 7

ok

Answer 8

so to find the slope of two points you use the equation y-y1/ x-x1 to get a y / x value

Answer 9

ok

Answer 10

so you choose one of the point pairs and subtract those from the other pairs

Answer 11

thx

Answer 12

so if we decide to subtract the second pair from the first pair then the first set of (x,y) values are (7,5) and the second set are (-4,-1) so you would subtract the second y value from the first and the second x value from the first

Answer 13

you go either way it doesnt matter if you choose to subtract the first values from the second as long as you remain consistant

Answer 14

but subtracting the second y value from the first you have 5-(-1) for the rise and for the run you subtract the second x value from the first so 7-(-4) for the run

Answer 15

this gives you a slope of 5-(-1) / 7-(-4) = 6/11 right?

Answer 16

are you following so far?

Answer 17

yes

Answer 18

ok so with a slope of 6/11 to find the equation you insert one of the set of points and the slope you just found into the formula y-y1 = m(x+x1)

Answer 19

m is the slope and y1 and x1 are the values you will replace so choosing a set of points say the second set and inserting those into the formula we have y-(-1)=6/11(x-(-4))

Answer 20

you cannot use the y value from set 2 and the x value from set 1

Answer 21

can you close the problem please