Question

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)

Answer 1

*(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

Answer 2

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.