Question

The equation of the line passing through the point (4,2) with slope -3 is

A. 3x+y-14=0
B. 3x+y+10=0
C. 3x+y-10=0
D. 3x+y+14=0

How do you find the answer?

Answer 1

use y=mx+c then
y=-3x+c
put x=4 and y=2
2=-3*4+c
c=2+12=14
y=2x+14 is your equation

Answer 2

i know that slope is
m=yB-yA/xB-xA

Answer 3

but I don't know whats the point slope

Answer 4

those are not needed in this but its good to know them

the one you need to know is
slope intercept formula

Answer 5

okay
slope formula
y-y1
----- =m
x-x1

point slope formula

y-y1 = m ( x - x1)

slope intercept formula

y= mx + b

Answer 6

lets assume y = mx +c here we have m = slope = -3
so y = -3x+c
lets put the value of the point in this to get the value of c
2= -3*4+c
=>c=14
hence y = -3x+14
3x+y-14
a

Answer 7

why is =>c=14?

Answer 8

slope formula is y=mx+b this is what everyone is familar with ive never heard of y=mx+c

y=-3x+b plug in the points and find ur answer

Answer 9

okay thanks! :)

Answer 10

No problem :)