Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange - 8x - 6y - 4 = 0 by adding 8x + 4 to both sides
- 6y = 8x + 4 ( divide all terms by - 6 )
y = - [tex]\frac{4}{3}[/tex] x - [tex]\frac{2}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{4}{3}[/tex] and y- intercept c = - [tex]\frac{2}{3}[/tex]
To find the x- intercept let y = 0 in the equation and solve for x
- 8x - 0 - 4 = 0 ( add 4 to both sides )
- 8x = 4 ( divide both sides by - 8 )
x = - [tex]\frac{1}{2}[/tex] ← x- intercept
