Question

Find the slope of the line through each pair of points.
1: (1.5,-0.5) ; (-2/3 , 1/3)
2: (-0.5, -0.5) ; (-3,-4)
3: (0, -0.5) ; (7/5,10)
Pleas help me :(

Answer 1

\[m=\frac{y_2-y_1}{x_2-x_1}\] is what you need for all of them

Answer 2

Use the formula, for some slope m:
\[m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}\]

Answer 3

it is arithmetic from here on in

Answer 4

I use that formuala to find the whole answer? :o

Answer 5

\((1.5,-0.5) ; (-2/3 , 1/3)\) you will need
\[\frac{\frac{1}{3}-(-0.5)}{-\frac{2}{3}-1.5}\] you math teacher must hate you to give you fractions and decimals in the same problem. lets work this one out

Answer 6

first of all we cannot use both fractions and decimals. lets convert each decimal to a fraction so we can do the arithmetic

Answer 7

Yeah she does -__- and okay lets do this!

Answer 8

\(-0.5=-\frac{1}{2}\) and \(1.5=\frac{3}{2}\)
so now we can continue

Answer 9

Okayy

Answer 10

\[\frac{\frac{1}{3}-(-0.5)}{-\frac{2}{3}-1.5}\]
\[\frac{\frac{1}{3}+\frac{1}{2}}{-\frac{2}{3}-\frac{3}{2}}\]
\[=\frac{\frac{5}{6}}{-\frac{13}{6}}\]
\[=-\frac{5}{6}\times \frac{6}{13}\]
\[=-\frac{5}{13}\]

Answer 11

hope all the steps are clear

Answer 12

so that would be the slope? like the final answer?

Answer 13

yes, that would be the slope
unless i messed up the arithmetic

Answer 14

i don't have to plug that into any other formula? (I'm asking cause my teacher does some many steps i dont understand)

Answer 15

that wasn't enough work for you?
there is only one formula for the slope, the one we both wrote above
lets check the answer
http://www.wolframalpha.com/input/?i=slope++%283%2F2%2C-1%2F2%29++%28-2%2F3+%2C+1%2F3%29

Answer 16

Ohhhhh okay I got it thanks a bunch!!

Answer 17

yw