Question

Determine the slope of the line 3x − 5y − 6 = 0

Answer 1

Answer:

The slope is .6

Step-by-step explanation:

To find the slope of a line, we need the equation in slope/intercept form, y=mx+b. This means we need to isolate the y variable.

3x-5y-6=0

We can do this in one swoop by just adding 5y to the equation

+5y  

3x-6=5y

now to get rid of that pesky 5, we can divide by 5.

/5

.6x-1.2=y

Rearrange

y=.6x-1.2

The slope is .6, and the y intercept is -1.2.

Answer 2

Answer:

slope   3/5

Step-by-step explanation:

3x − 5y − 6 = 0

To find the slope, we want to solve for y

(y = mx+b   slope intercept form of the equation(

Add 5y to each side

3x − 5y+5y − 6 = 0+5y

3x-6 = 5y

Divide by 5

3/5x -6/5 = 5y/5

3/5 x -6/5 = y

The slope is 3/5 and the y intercept is -6/5