Question

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

Answer 1

see explanation

Explanation:

This is the equation of a line . To graph a line only requires 2 points although a 3rd is useful for alignment of the points.

When the line crosses the x-axis , the y-coord will be zero. Substitute y = 0 into equation to find corresponding x-coord.

y = 0 : 5x = - 5 → x = -1 → (-1,0) is a point on line.

Similarly, when the line crosses the y-axis , x will be zero.

x = 0 : y = -5 → (0,-5) is a 2nd point on the line.

For a 3rd point, choose any value of x , say x = 1

x = 1: y +5 = -5 → y = -10 → (1,-10) is a 3rd point

Now , plot (-1,0),(0,-5) and (1,-10) and draw a straight line through them.

Here is the graph as a check.
graph{-5x-5 [-10, 10, -5, 5]}