Question

Pls help i will give u brianliest

Answer 1

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

Explanation:

We can take any two input-output pairs from the table to find the equation of given function.

Linear function is given by:

`y =mx+b`

Here m is the gradient of the functions which is defined as:

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

The input-output pairs are:

(x1,y1) = (-1,-1)

(x2,y2) = (0,-4)

First of all,

`m = (-4-(-1))/(0-(-1))\\= (-4+1)/(1) = -3`

Putting the value of slope in the equation

`y = -3x+b`

Putting (-1,-1) in the equation

`-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4`

The equation will be:

`y = -3x-4`

Hence,

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4