Question

Graph the line y=-3x-2

Answer 1

Answer:

The graph of the line is attached below.

Step-by-step explanation:

According to the slope-intercept form

$y=mx+b$

As the line equation  is given by

$y=\:-3x\:-\:2$

$\mathrm{Slope\:of\:}-3x-2:\quad m=-3$

y-intercept = b = -2

$\mathrm{Axis\:interception\:points\:of}\:-3x-2:\quad \mathrm{X\:Intercepts}:\:\left(-\frac{2}{3},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-2\right)$

• $\mathrm{x-intercept\:is\:a\:point\:on\:the\:graph\:where\:}y=0$

$-3x-2=0:\quad x=-\frac{2}{3}$

$\mathrm{X\:Intercepts}:\:\left(-\frac{2}{3},\:0\right)$

• $y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0$

$y=-3\cdot \:0-2:\quad y=-2$

$\mathrm{Y\:Intercepts}:\:\left(0,\:-2\right)$

The graph of the line is attached below.