Question

Can someone please help me?

Answer 1

A slope of a line.

We have the equation of a line:

`y=-(5)/(4)x-1`

The formula of a slope of a line passes through points A, B:

`A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\m=(y_B-y_A)/(x_B-x_A)`

Complete the table:

Put the values of x to the equation of a line and calculate the value of y:

`x=0\\\\y=-(5)/(4)\cdot0-1\\\\y=-1\\\\\\x=4\\\\y=-(5)/(4)\cdot4-1\\\\y=-6`

Substitute to the formula of a slope:

`m=(-6-(-1))/(4-0)\\\\m=(-6+1)/(4)\\\\\huge\boxed{m=-(5)/(4)}`