Answer:
gradient = - [tex]\frac{3}{2}[/tex]
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 = - [tex]\frac{6}{4}[/tex] x + [tex]\frac{8}{4}[/tex]
y = - [tex]\frac{3}{2}[/tex] x + 2 ← in slope- intercept form
with slope / gradient = - [tex]\frac{3}{2}[/tex]
The gradient of a parallel line is then m = - [tex]\frac{3}{2}[/tex]
