Question

Write the slope-intercept equation for the line that passes through (-5, 10) and (-4, 3). Please show all of your work.

Answer 1

so , we start with this format
http://en.wikipedia.org/wiki/Linear_equation#Two-point_form

Answer 2

after finding the slope

Answer 3

passes through (-5, 10) and (-4, 3).

to find slope: the change of Y over the change in X

\[m= \frac{10-3}{(-5)-(-4)}= \frac{7}{(-5)+4}= \frac{7}{-1} \ -7\]

ok?

Answer 4

that ok so far?

Answer 5

yes

Answer 6

Then, use the format of the equation from wiki

\[(y - y1) = m* (x - x1)\]
where x1 and y1 are one of the points, (x1,y1), let's pick (-5,10), but it doesn't really matter which.

So, substitute in the y1, x1, m into the equation:
\[(y - 10) = (-7)* (x - (-5))\]
then...

Answer 7

simplify:
y−10 = (−7)∗(x−(−5))
the subtraction of a negative number changes it to addition
y−10 = (−7)∗(x+5)
multiply through the -7
y−10 = −7x-35
add 10 to both sides
y = −7x-25

so

y = −7x-25
is the slope intercept form

-7 is the slope
-25 is the intercept

y = (−7)*x+(-25)
y = (m) *x + (b)

Answer 8

i am writing down the steps

Answer 9

ok. let me check that

Answer 10

ok, works

Answer 11

so my final equation would be....

Answer 12

haven't seen it yet. unless i missed it. :)

Answer 13

ok, write when you go post it. :)

Answer 14

ok i didnt get it all the way as im writing it it looks weird lol

Answer 15

ok, let me know what you need. not sure how to explain more through typing

Answer 16

okay lets do the last one then we are done woooo hoooo

Answer 17

is it on th left?

Answer 18

yes