Question

Write the equation of a line with slope 1/2 and including point (4, -1).

Answer 1

y=mx +c is equation of a line.
the slope is m=0.5.
y=-1 and x=4
substitute these values in y=mx+c.. then rearrange to tget c.
then you you can write
y=mx+c with m=1/2 and c=..whatever the value you find
do you get it?

Answer 2

-1 = .5(4) + c ?

Answer 3

yes..now rearrange so you get c=....

Answer 4

c = -3

Answer 5

excellent.
now substitute m=0.5 and c=-3
into y=mx+c
and there you have the equation of the line

Answer 6

Thank you

Answer 7

my pleasure..
so what is the equation of the line?

Answer 8

y = 1/2x - 3

Answer 9

good.
now as a bonus to check if your equation is correct you put x=4 in and you should get y=-1...if you don't then your equation of line is wrong

Answer 10

I did and got -1 as my answer

Answer 11

then the equation of the line is correct.