Question

What is the slope of the line 5x + 2y = 10?

Answer 1

To find the slope of any line, manipulate the equation and re-write the line so that it is in the form y = mx + b where m = slope.

In this particular case,
To find the slope of 5x + 2y = 10, manipulate and rewrite it as follows:

5x + 2y = 10
2y = 10 - 5x
y = (10 - 5x)/2
y = 5 - 2.5x
y = -2.5x + 5

Thus now, the line 5x + 2y = 10 re-written as y = -2.5x + 5 is in the form y = mx + b
and m, the slope = -2.5