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31 votes
Write an equation of the line and interpret the slope.​

Write an equation of the line and interpret the slope.​-example-1
User Brian Ochs
by
2.8k points

1 Answer

14 votes
14 votes

Answer:

y=-100x+700

Explanation:

Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100

So your slope would be m=-100

To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:

y=mx+b (Slope-intercept form)

y=-100x+b (Equation so far)

200=-100(5)+b [Plugging in (5,200)]

200=-500+b

700=b

So since the y-intercept is b=700, then the equation of the line is y=-100x+700

User Trevor Ian Peacock
by
3.0k points
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