Question

4y-5x=12x+3 write in slope intercept form

Answer 1

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

Explanation:

the equation of a line in slope- intercept form is

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

given

4y - 5x = 12x + 3 ( add 5x to both sides )

4y = 17x + 3 ( divide through by 4 )

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

Answer 2

y = (17/4)x + (3/4)

Explanation:

Formula we use,

→ y = mx + b

Now the slope-intercept form is,

→ y = mx + b

→ 4y - 5x = 12x + 3

→ 4y = 12x + 5x + 3

→ y = (17x + 3)/4

→ y = (17/4)x + (3/4)

Thus, answer is y = (17/4)x + (3/4).