Ask a question

How do you graph linear equations?

How do I graph this linear equation?  y = -x

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
John R. | John R: Math, Science, and History TeacherJohn R: Math, Science, and History Teach...
4.6 4.6 (55 lesson ratings) (55)

The slope-intercept form of linear equations is usually used for graphing.  In this form, the equation will be:
y = mx + b, where m is the slope (amount the line rises divide by how far it goes to the right) and b is the y-intercept (value of y when x = 0).

In your equation, m = -1 and b = 0.

Since the y-intercept is 0, the line passes through the point (0,0).

Using the slope, we can locate a second point on the line.  Since the slope is -1, we need to go down 1 place for each 1 place we go to the right.  This brings us to the point (1,-1).

With two points plotted, you can now draw a line through them to graph the line.