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)*= $y = \frac{2}{3} x-2$

*(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) $y=\dfrac{2}{3}x-2.$

Step-by-step explanation:  We are given to select the equation of a line in slope-intercept form with slope $\dfrac{2}{3}$ 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

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

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

$y=mx+c\\\\\Rightarrow y=\dfrac{2}{3}x+(-2)\\\\\\\Rightarrow y=\dfrac{2}{3}x-2.$

Thus, the required equation of the line in slope-intercept form is $y=\dfrac{2}{3}x-2.$

Option (C) is CORRECT.