Question

Graph the line with the equation y = -x - 5.

Answer 1

Explanation:

1) since -5 is graphed in the equation we know the y-intercept is -5

2) since we already know the point (0,-5) form the y-intercept, we pick x-values and plug them into the equation. I'll use -4, 3, and 9

y=-x-5 y=-x-5 y=-x-5

y=-9-5 y=-3-5 y=--4-5

y=-14 y=-8 y=-1

3) we then plot the 4 points we found and draw a straight line connecting them, and then we put arrows on either side of the line because the question did not say that it was a line segment.

4) And check your work by going to Google and typing "student desmos graphing calculator" and typing in your equation.

Answer 2

Find the y-intercept and x-intercept

1) Find the x-intercept, substitute y = 0

0 = -x-5

5=-x

x= -5

Therefore, the x-intercept is at -5

2) Find the y-intercept, substitute x = 0

y= -0 - 5

y = 0 - 5

y = -5

Therefore, the y-intercept is at -5 too.

Plot the line graph from x = -5 to y = -5 and it should be like this.

Note - You can easily find the y-intercept just looking at "b value" from y = mx+b when m is the slope and b is the y-intercept.