Question

Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form.

y = 3x – 7
y = 3x – 5
y = 5x – 11
y = 5x – 9

Answer 1

With two points you can find the slope immediately, did you find it?

Answer 2

3

Answer 3

How did you calculate 3?

Answer 4

idk

Answer 5

So you guessed?

Answer 6

I looked at the coordinates that was given

Answer 7

For the slope, it's "\(m = \frac{\Delta y}{\Delta x}\)", which means : (difference of y's) / (difference of x's).

Answer 8

What that means

Answer 9

The slope would y right?

Answer 10

Nope

Answer 11

Slope = rise/run

Have you seen that^ formula before?

Answer 12

Yes

Answer 13

Good, call one point number 1 and the other number 2 and use

$$\Huge slope=\dfrac{y_2-y_1}{x_2-x_1}$$

Answer 14

I got it

Answer 15

Good job :-D

Answer 16

It's a good idea to make a sketch and plot the pionts as a check for your calculations.

Answer 17

Now that you have the slope of this line, you need to write the actual equation of the line. Use the form y=mx+b. Here, m is the slope of the line and b is the y-intercept.