Question

Part 1: Using complete sentences, explain how to find the equation of the line, in standard form and slope–intercept form, passing through (2,6) and (-4, 8).

Part 2: Compare the benefits of writing an equation in standard form to the benefits of writing an equation in slope–intercept form.

Answer 1

what's the first thing you have to do?

Answer 2

Honestly clueless

Answer 3

you have to first find the slope

Answer 4

I just need this answered to be done with my online ALG 2 class

Answer 5

i'm in algebra 2 as well. just started though

Answer 6

sooo slope = -1/3?

Answer 7

yea, so now what do we do?

Answer 8

sub in coordinate points in the equation i guess

Answer 9

yea, we have to put the information now into point-slope form. do you know what that is?

Answer 10

Y=MX+B right

Answer 11

no, that's slope-intercept form

Answer 12

from point-slope form, we can change it into slope-intercept, and then standard

Answer 13

erp. whats point slope?

Answer 14

y - y1 = m(x - x1)

Answer 15

so we can use one of the given coordinates for this. we'll use the first one (2,6)

Answer 16

you substitute the 2 for x1, 6 for y1, and -1/3 for m

Answer 17

is this making sense so far?

Answer 18

x-2 = -1/3(y-6) ?

Answer 19

you switched up the x's and y's point-slope is: y - y1 = m(x - x1)
so it would be y - 6 = -1/3(x - 2)

Answer 20

typing error :/ okay now what

Answer 21

so now it's in point-slope...how could we get it into slope-intercept form? y = mx + b?

Answer 22

add 6 to both sides?

Answer 23

well first, i'd distribute the -1/3 into the parentheses, then add 6

Answer 24

so what would it be in slope-intercept form?

Answer 25

the 1/3 is messing me up trying to distribute

Answer 26

-2/3 right?

Answer 27

positive my bad

Answer 28

yep

Answer 29

so what's 2/3 + 6?