Question

How do you graph `y= -x - 5`?

Answer 1

see explanation

Explanation:

To graph a straight line only 2 points are required

although 3 points are better (in case of error with other 2 .)

To find the y-intercept let x = 0 : hence y = - 5 ie (0 , - 5 )

To find the x-intercept let y = 0 : hence -x - 5 = 0 so x = - 5

ie ( - 5 , 0 )

These 2 points will allow the line to be drawn but a 3rd

is preferable. Choose any value for x and evaluate y.

choose x = 2 : then y = - 2 - 5 = - 7 ie (2 , - 7 )

Plot these 3 points: (0 , - 5 ) , (- 5 , 0 ) and (2 , - 7 ) and
draw a straight line through them .

Here is the graph of y = - x - 5
graph{-x-5 [-20, 20, -10, 10]}