Question

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

Answer 1

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

Answer 2

3y - 6 + 6x + 6 - 2 = 0
3y + 6x - 2 = 0
3y = -6x + 2
y = -2x + 2/3
slope = -2,y-intercept = 2/3