Question

Work out m and c for the line: 5x-3y+4=0

Answer 1

m = 5/3 and c = 4/3.

Explanation:

5x - 3y + 4 = 0

-3y = -5x - 4

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

y = 5/3 x + 4/3

y = mx + c

So m = 5/3 and c = 4/3

Answer 2

`m = (5)/(3)`

`b = (4)/(3)`

Explanation:

The question requires you to rearrange the equation into the form:

y = mx + c

Which is the straight line equation, meaning rearrange for y:

Add 3y to both sides of the equation:

5x - 3y + 4 = 0

5x - 3y + 4 + 3y = 0 + 3y

5x + 4 = 3y

Divide both sides of the equation to isolate y:

`(5x)/(3) + (4)/(3) = (3y)/(3)`

`y = (5)/(3)x + (4)/(3)`

This means that
`m = (5)/(3)` and
`b = (4)/(3)`.

Hope this helps!