Answer:
y=-2x-6
Explanation:
Slope intercept form of a line: y=mx+b (m is the slope and b is the y-intercept)
Convert our given line 6x+3y=4 into slope-intercept form to find the slope
Subtract 6x on both sides
3y=-6x+4
Divide 3 on both sides
y=-2x+4/3
The slope of the given line is the coefficient of x, -2
Parallel lines have the same slope, so the equation we're solving for also has a slope of -2
We also know that the y-intercept is -6, so we now have all the info we need to make the equation:
y=-2x-6