Question

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

Answer 1

Answer:

6

Step-by-step explanation:

y = mx + b

m = slope be = y-intercept.

Parallel lines have the same slope.

since m = 6 then slope of this line = 6 and the parallel line will also = 6

Answer 2

Answer:

gradient = - $\frac{3}{2}$

Step-by-step 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 = - $\frac{6}{4}$ x + $\frac{8}{4}$

y = - $\frac{3}{2}$ x + 2 ← in slope- intercept form

with slope / gradient = - $\frac{3}{2}$

The gradient of a parallel line is then m = - $\frac{3}{2}$