Answer:
y = -4/3 x + 2
Step-by-step explanation:
Let us assume the equation given is 3y + 4x = 6
The standard form in slope-intercept form is y = mx+c
m is the slope
c is the intercept
Make y the subject of the formula
3y + 4x = 6
3y = -4x + 6
Divide through by 3
3y/3 = -4/3 x + 6/3
y = -4/3 x + 2
Hence the equation of the line in slope-intercept form is y = -4/3 x + 2
