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26 votes
26 votes
Write an equation for the line that passes through (−8.5,11) and (5,−2.5)

Write an equation for the line that passes through (−8.5,11) and (5,−2.5)-example-1
User Bltzrrr
by
2.6k points

2 Answers

7 votes
7 votes
  • (-8.5,11)
  • (5,-2.5)

Slope:-

  • m=-2.5-11/5+8.5
  • m=-13.5/13.5
  • m=-1

Equation in point slope form

  • y-11=-1(x+8.5)
  • y-11=-x-8.5
  • y=-x+2.5
User Mmklug
by
2.8k points
12 votes
12 votes

y = -x + 2.5

slope formula:


\sf (y_2-y_1)/(x_2-x_1)

find slope:


\rightarrow \sf (-2.5-11)/(5-(-8.5))


\rightarrow \sf (-13.5)/(13.5)


\rightarrow \sf -1

equation formula:


\sf y_1-y = m(x_1-x)

find equation:


\hookrightarrow \sf y-11=-1(x-(-8.5)


\hookrightarrow \sf y-11=-x-8.5


\hookrightarrow \sf y=-x-8.5+11


\hookrightarrow \sf y=-x+2.5

User Jukka Suomela
by
2.7k points