Question

05.01 MC)

Determine the slope of the line 5x − 3y − 12 = 0. (5 points)

Question 1 options:

1)

negative five thirds

2)

negative three fifths

3)

three fifths

4)

five thirds

Answer 1

slope =
`(5)/(3)`

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x - 3y - 12 = 0 ( subtract 5x - 12 from both sides )

- 3y = - 5x + 12 ( divide all terms by - 3 )

y =
`(5)/(3)` x - 4 ← in slope- intercept form

with slope m =
`(5)/(3)`