223k views
2 votes
What is the equation of a line that has a y-intercept of -3 and is parallel to the line 3x = 4 + 5y?

What is the equation of a line that has a y-intercept of -3 and is parallel to the-example-1
User Lakerz
by
4.3k points

1 Answer

3 votes

Answer:

y = (3/5)x - 3

Explanation:

If 3x = 4 + 5y, then

5y = 3x - 4

y = (3/5)x - 4/5

*** The given equation's slope is (3/5). For the new line to be parallel to the old one, it must have the same slope or 'slant', 3/5.

*** The requested y-intercept is -3.

For y = mx + b, 'm' is the slope and 'b' is the y-intercept.

The answer should be y = (3/5)x - 3 in 'y = mx + b' slope-intercept form.

User Betontalpfa
by
4.1k points