Which of the following is the equation of a line in slope intercept form for a line with slope = 2/3 and y-intercept at (0,-2)

Question

asked Jun 28, 2019 165k views

2 Answers

Wpkzz · Answer 1 · 2019-06-28T19:58:19+0000

*(The Answer)*=
y = (2)/(3) x-2

*(Equation)*= The equation for slope-intercept form is
y=mx+b

*(Additional Information)*= m = slope, and b = y-intercept

Hope this helps

Person who answered: BangtanBoyScouts

Agondiken · Answer 2 · 2019-07-04T22:51:34+0000

Answer: The correct option is

(C)
y=(2)/(3)x-2.

Step-by-step explanation: We are given to select the equation of a line in slope-intercept form with slope
(2)/(3) and y-intercept at (0, -2).

We know that

the slope-intercept form of the equation of a line with slope m and y -intercept at the point (0, c) is given by

y=mx+c.

For the given line, we have

$\textup{slope, }m=(2)/(3),\\\\\\\textup{y-intercept},~(0,c)=(0,-2)\\\\\Rightarrow c=-2.$

Therefore, the equation of the line in slope-intercept form is

$y=mx+c\\\\\Rightarrow y=(2)/(3)x+(-2)\\\\\\\Rightarrow y=(2)/(3)x-2.$

Thus, the required equation of the line in slope-intercept form is
y=(2)/(3)x-2.

Option (C) is CORRECT.