Question

Need Geometry help!
Indicate in standard form the equation of the line passing through the given point and having the given slope.

R(4, 0), m = 5

Answer 1

y - y1 = m(x - x1)

Answer 2

can you help me plug it in so i can understand it better it's still confusing

Answer 3

m is your slope

(x1,y1) is the point the line goes through

Answer 4

m = 5 is given as the slope

(4,0) is the given point, so

(x1,y1) = (4,0) ----> x1 = 4 and y1 = 0

Answer 5

it wants me to answer in a box where the second position is taken by an x and the 7th by a 0

Answer 6

so i'm still not getting how to plug it all in

Answer 7

does the formula

y - y1 = m(x - x1)

look familiar?

Answer 8

yes

Answer 9

ok all you do is replace the letters with the known and given info

Answer 10

for instance, you know that m = 5, so you replace m with 5

y - y1 = m(x - x1)

y - y1 = 5(x - x1) ... replace m with 5 (or plug in m = 5)

Answer 11

do the same for x1 and y1

Answer 12

so 0=5*4 but that doesn't make any sense

Answer 13

y - y1 = 5(x - x1)

y - y1 = 5(x - 4) ... replace x1 with 4

y - 0 = 5(x - 4) ... replace y1 with 0

Answer 14

see how I'm getting all this?

Answer 15

oh ok

Answer 16

your next move is to get the equation info Ax+By = C form

Answer 17

how do you do that?

Answer 18

I'll give a similar example

Answer 19

y - 2 = 3(x-7)

y - 2 = 3x-21 ... distribute

y - 2+2 = 3x - 21+2 ... Add 2 to both sides.

y = 3x - 19 ... Combine like terms.

y - 3x = 3x-19-3x ... Subtract 3x from both sides.

y - 3x = -19 ... Combine like terms.

-3x + y = -19

3x - y = 19 ... multiply everything by -1

this is NOT the answer you want since it's just an example

Answer 20

ok so i ended up with y-5x=-20

Answer 21

or -5x=-y-20

Answer 22

let me check

Answer 23

y-5x=-20

or

-5x + y = -20

are correct

Answer 24

but that still doesn't add up because the box i have to input this into has the second position taken by an x

Answer 25

so theres no room for the negative

Answer 26

some books or teachers will want A > 0, so that means you multiply everything by -1 to get

-5x + y = -20

-1*(-5x) + -1*y = -1*(-20)

5x - y = 20

Answer 27

oh ok

Answer 28

im going to see if this works

Answer 29

it should or there's a typo somewhere

Answer 30

yes perfect thanks very much

Answer 31

yw