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50 POINTS FOR CORRECT AWNSER!

50 POINTS FOR CORRECT AWNSER!-example-1
User Harshil
by
8.1k points

2 Answers

9 votes
  • (0,3)
  • (2,4)

Slope:-


\\ \tt\Rrightarrow m=(4-3)/(2)=1/2

Equation of line in point slope form


\\ \tt\Rrightarrow y-3=1/2x


\\ \tt\Rrightarrow y=1/2x+3

Equation of shaded region


\\ \tt\Rrightarrow y\leqslant 1/2x+3

User David Dahan
by
7.5k points
2 votes

Answer:


y\leq \frac12x+3

Explanation:

Choose 2 points on the line: (-6, 0) and (0, 3)

  • Let
    \sf (x_1,y_1)=(-6,0)
  • Let
    \sf (x_2,y_2)=(0,3)


\sf slope=(y_2-y_1)/(x_2-x_1)=(0-3)/(-6-0)=\frac12

point-slope form of linear equation:
\sf y-y_1=m(x-x_1)


\implies \sf y-0=\frac12(x-(-6))


\implies \sf y=\frac12x+3

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is solid, and the shading is below the line,


\implies \sf y\leq \frac12x+3

User Orschaef
by
7.6k points

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