Question

PLEASE HELP MEEEEE!!!!!!!!!

Answer 1

Value of slope is -2 and y-intercept is 1

Explanation:

We can see that the values in the table have a linear relationship.

A linear function is a straight line written as:

y = mx+b

Here,

m is the slope and b is the y-intercept

The slope is calculated by:

`m = (y_2-y_1)/(x_2-x_1)`

We can take any two consecutive pairs in the table to calculate the slope.

Taking first two input-output pairs.

(x1,y1) = (-3, 7)

(x2,y2) = (-2, 5)

Putting the values

`m = (5-7)/(-2+3)\\m= -2`

Putting the value of m in the general form

`y = -2x+b`

To find the value of b, we will put any pair of input-output (x,y) in the equation

Putting the first pair

`7 = -2(-3) +b\\7 = 6 + b\\b = 7-6\\b = 1`

Hence,

Value of slope is -2 and y-intercept is 1