Question

what is the equation of the line that passes through the points (3,2)and has a slope of 4

Answer 1

are you familiar with y=mx+c

Answer 2

Yes but I get confused

Answer 3

alright. do you know what m represents?

Answer 4

Slope

Answer 5

aren't we given the slope though?

Answer 6

so automatically we can say

y=4x+c

Answer 7

follow?

Answer 8

Yes but then C is what?

Answer 9

well 'c' is the y-intercept of the graph right?

Answer 10

what other information have you been given?

Answer 11

@chris00 cant she use \[y - y_{1}=m(x-x_{1})\] and just solve for y?

Answer 12

you need two points though...your only given one. and that only gives the slope which we are have already been given in the question

Answer 13

The other information are the answers

Answer 14

\[y - 2 = 4(x-3)\] solve for y you get a \[y = mx + b\] and you will have your equation

Answer 15

i never learnt it that way. when you know

y=4x+c

substitute (3,2) into x any y

2=4(3)+c

c=-10

therefore your equation of your line is

y=4x-10

Answer 16

Which are
y=4x-1
y=4x-5
y=4x-10
y=4x+1

Answer 17

That way is way easier thank you

Answer 18

@chris00 yea that works too did not mean to interrupt you :)

Answer 19

my way grasps the concept of a line visually. whereas a general formula is just a mere plug and chug. but no thats fine to interrupt. more ways the better

Answer 20

graph it to check if (3,2) lies on the line though. so you can be sure that the line is correct