Answer: Slope is -2,
y-intercept is 2/3
Step-by-step explanation:
Here, the given equation is,
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 -------(1)
Since, the slope-intercept form of a line y = mx + c, where m is the slope of the line
By comparing,
m = -2,
That is, the slope of the given line is -2.
For y-intercept,
By putting x = 0 in equation (1),
y = 0 + 2/3 ⇒ y = 2/3
Hence, the y-intercept of the given equation is, 2/3
