Question

What is the slope of the line that passes through the given points?

(6, 2) and (7, 4)

a.-2
b.1/2
c.-1/2
d. 2

Answer 1

do you know the
slope formula
point slope formula

Answer 2

no.

Answer 3

what formulas do you know

Answer 4

wait yes. y-y1=m(x-x1)

Answer 5

technically the the whole idea is this

Answer 6

did i confuse you or
....

Answer 7

no, i follow.

Answer 8

is it d?

Answer 9

well
can you show me your work how you came to your answer

Answer 10

2-4=m(6-7)
-2=m(-1)
(-2)(-1)
2

Answer 11

you are supposed to get the
slope first

you are using the point slope formula

Answer 12

You have two points, so you need the two-point equation of a line:

A line that passes through points \((x_1, ~y_1)\) and \((x_2, ~y_2) \) has the equation:

\(y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1} (x - x_1)\)

Use \( (6, ~2) \) as \( (x_1, ~y_1) \) and \( (7, ~4) \) as \( (x_2, ~y_2) \). Plug in all 4 values into the two-point equation above and simplify.

Answer 13

the slope formula is

y - y1
----- = m
x- x1

Answer 14

i'm confused. i tried that all together and got two again.

Answer 15

lol you might be correct :P i haven't tried it out actually lol

Answer 16

looks good :P

Answer 17

okay, thank you!

Answer 18

\(y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1} (x - x_1) \)

\(y - 2 = \dfrac{4 - 2}{7 - 6} (x - 6) \)

\(y - 2 = \dfrac{2}{7} (x - 6) \)

\(y - 2 = 2(x - 6) \)

\(y - 2 = 2x - 12\)

\(y = 2x - 10\)