How do you find the slope of the graph of 3x+5y=10?

1 Answer
May 5, 2018

-3/5 is the slope of the line.

Explanation:

Rearrange the equation into slope-intercept form to find the slope:

y = mx + b

"m = slope"
"b = y-intercept"

So rearrange the problem so that the y is by itself on the left of the equal sign:

3x +5y=10

5y = -3x + 10

y = -3/5x + 10/5

y = -3/5x + 2

The slope is next to the x, so it is called m in the slope-intercept form:

y = color(blue)mx + b

y = color(blue)(-3/5)x + 2

-3/5 is the slope of the line.