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

Answer:

The slope is.6

Step-by-step explanation:

To ascertain the slope of a line, the equation must be in slope/intercept form, y=mx+b. This implies isolating the y variable.

3x-5y-6=0

This can be achieved by simply adding 5y to the equation

+5y

3x-6=5y

To eliminate that unwelcome 5, we will divide by 5.

/5

.6x - 1.2 = y

Reorganizing gives

y =.6x - 1.2

Thus, the slope is.6, with the y-intercept at -1.2.

Answer:

slope 3/5

Step-by-step explanation:

3x − 5y − 6 = 0

To determine the slope, we need to express y

(y = mx+b this is the slope-intercept form of the equation)

Add 5y to both sides

3x − 5y + 5y − 6 = 0 + 5y

3x - 6 = 5y

Now, divide by 5

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

3/5 x - 6/5 = y

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