Question

Find the slope and the y-intercept of the graph of the linear equation.

1. y = -4x - 6

2. y = 1/2x - 1/3

Answer 1

see the explanation

Explanation:

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-intercept

Part 1) we have

`y=-4x-6`

This is the equation of a line in slope intercept form

therefore

The slope is m=-4

The t-intercept is b=-6

see the attached figure to better understand the problem

Part 2) we have

`y=-(1)/(2)x-(1)/(3)`

This is the equation of a line in slope intercept form

therefore

The slope is m=-1/2

The t-intercept is b=-1/3

see the attached figure to better understand the problem