Question

What is the equation in point−slope form of the line passing through (0, 6) and (1, 3)?

Answer 1

Pleas help

Answer 2

First find the slope

\(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\)

Where the two points are in the form:

\(\sf\Large (\color{purple}{x_1},\color{red}{y_1})~and~(\color{green}{x_2},\color{blue}{y_2})\)

Answer 3

-3/1

Answer 4

right?

Answer 5

Correct, and that can be simplified to just -3

now, point-slope form is

\(y – y_1 = m(x – x_1)\)

and m is the slope and you have to substitute one of the two points in. It doesn't matter which point

Answer 6

im confused

Answer 7

What is the slope?

Answer 8

-3/1

Answer 9

replace m with -3

\(y – y_1 = m(x – x_1)\)

Answer 10

what about x1 and y 1

Answer 11

you can use any point you want to use

(1, 3)

or (0, 6)

Answer 12

what about x and y

Answer 13

\( (x_1,y_1)\)
\((~1, ~3~)\)
\((~0,~6~)\)

choose one point

Answer 14

leave x and y alone...sub in numbers for x1 and y1....and m

Answer 15

you could also use y=mx+b
b is your y intercept and you were given this point
note: (0,6) b is 6
y=-3x+6
the slope is your m value and b is your y intercept