Question

]What is the slope of a line that passes through the point (−1, 1) and is parallel to a line that passes through (4, 6) and (−1, −4)?

Answer 1

requirement for the line is two points. you have one point. and you know that the line must be parallel to (4,6) and (-1,-4) passing line.

Answer 2

okayy

Answer 3

get slope of the (4,6) and (-1,-4) by getting y differences/ x differences. since the line is parallel to the line you are looking for, slope must be the same.

Answer 4

okay. what is the question asking for?

Answer 5

given point on the line, get slope that is parallel to the two other points.

Answer 6

oh idk how to do this

Answer 7

slope = \[m=\Delta y/\Delta x= (-4-6)/(-1-4)= -10/-5=2\]

Answer 8

so the answers 2?

Answer 9

this slope is using the other two points, but you know that this slope is PARALLEL to the line you are looking for. PARALLEL lines share same slope. so using this information, we know that the slope of the line we are interested in, have the same slope as the slope from the two other points (which is 2)

Answer 10

Please dont simply grab the answer, try to catch the thought process and procedures so you can replicate the work in future.

Answer 11

im not grabbing the answer? im just trying to understand..

Answer 12

Hi Sabrina, Katherine is on the right track, now that you have the slope, input the slope into point slope form for the point (-1,1)

so...

y-1=2(x - (-1)

Answer 13

that is good, but zeno , you dont need to do that because you only need to get the slope of the line, not the whole eqn.

Answer 14

gotcha, you are right

Answer 15

thanks guys