Question

Graph the line y=-3x-2

Answer 1

The graph of the line is attached below.

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(-(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=-(2)/(3)`

`\mathrm{X\:Intercepts}:\:\left(-(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.