Question

Help mee pleaseee :(

Answer 1

Explanation:

We will need to find the equation and put it in the form y = mx + b where m is the slope and b is the y intercept.

Step 1 - Calculate the slope via the slope formula:

`((y2 - y1))/((x2 - x1)`

We will use the first two x and y variables in the table, so simply plug the values in.

`((-3) - (-1))/(2 - 1)\\`

=
`(-2)/(1) = -2`

This means the slope is 2 (y = -2x + b).

Step 2 - Plug the variables in:

To calculate the b, we can use one of the pairs of coordinates i.e. (1, -1) to calculate b by putting the variables into the above equation:

y = -2x + b

-1 = -2(1) + b

-1 = -2 + b

-1 + 2 = b

b = 1

This means the equation is:

y = -2x + 1

Hope this helps!

Answer 2

y = - 2x + 1

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table

m =
`(-3-(-1))/(2-1)` =
`(-3+1)/(1)` = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (3, - 5 ) , then

- 5 = - 6 + c ⇒ c = - 5 + 6 = 1

y = - 2x + 1 ← equation of line