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DeltaMath Student Application Content Keeper Auth Canvas Desmos Classkick sportsYou Question Show Examples Use technology to find points and graph the line 2y+3x=-2, following the instructions below. done plotting points Plot at least two points that fit on the axes below. Click a point to delete it.

DeltaMath Student Application\newlineContent Keeper Auth\newlineCanvas\newlineDesmos\newlineClasskick\newlinesportsYou\newlineQuestion\newlineShow Examples\newlineUse technology to find points and graph the line 2y+3x=−2 2 y+3 x=-2 , following the instructions below.\newlinedone plotting points\newlinePlot at least two points that fit on the axes below.\newlineClick a point to delete it.

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Q. DeltaMath Student Application\newlineContent Keeper Auth\newlineCanvas\newlineDesmos\newlineClasskick\newlinesportsYou\newlineQuestion\newlineShow Examples\newlineUse technology to find points and graph the line 2y+3x=−2 2 y+3 x=-2 , following the instructions below.\newlinedone plotting points\newlinePlot at least two points that fit on the axes below.\newlineClick a point to delete it.
  1. Rearrange Equation: First, let's rearrange the equation into slope-intercept form y=mx+by=mx+b to make it easier to find points. So, we'll solve for yy.\newline2y=−3x−22y = -3x - 2\newliney=−3x−22y = \frac{-3x - 2}{2}
  2. Find Points: Now, let's find two points. We can start by setting xx to 00 and solving for yy.\newliney=−3(0)−22y = \frac{-3(0) - 2}{2}\newliney=−1y = -1\newlineSo, one point is (0,−1)(0, -1).
  3. Set xx and Solve: Next, let's set yy to 00 and solve for xx.0=−3x−220 = \frac{-3x - 2}{2}0=−3x−20 = -3x - 23x=−23x = -2x=−23x = \frac{-2}{3}So, another point is (−23,0)(-\frac{2}{3}, 0).
  4. Plot Points: Now we have two points: (0,−1)(0, -1) and igg(- rac{2}{3}, 0igg). We can plot these points on the graph to represent the line.

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