Question

Hat is the gradient of the line parallel to the line 4y+6x=8?

Answer 1

gradient = -
`(3)/(2)`

Explanation:

Parallel lines have equal slopes/ gradients

The equation of a line in slope- intercept form is

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

Given

4y + 6x = 8 ( subtract 6x from both sides )

4y = - 6x + 8 ( divide terms by 4 )

y = -
`(6)/(4)` x +
`(8)/(4)`

y = -
`(3)/(2)` x + 2 ← in slope- intercept form

with slope / gradient = -
`(3)/(2)`

The gradient of a parallel line is then m = -
`(3)/(2)`