Question

What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0?

A.) slope= -2, y-intercept= 2/3
B.) slope= 2, y-intercept= 2/3
C.) slope= -2, y-intercept= -2/3
D.) slope= 2, y-intercept= -2/3
E.) slope= -2, y-intercept= 3/2

Answer 1

3(y - 2) + 6(x + 1) - 2 = 0
3y - 6 + 6x + 6 - 2 = 0
3y + 6x - 2 = 0
3y = -6x + 2
y = -2x + 2/3

slope = -2, y intercept = 2/3

Answer 2

you can try to convert to y=mx+b form
m=slope
b=yint
solve for y
first distribute
3y-6+6x+6-2=0
3y+6x+6-6-2=0
3y+6x-2=0
add 2 to both sides
3y+6x=2
minus 6x both sides
3y=-6x+2
divide both sides by 3
y=-2x+2/3

y=mx+b
slope is -2 and yint is 2/3

A is answer