nehemiahclark103 nehemiahclark103
  • 13-02-2021
  • Mathematics
contestada

What is the rate of change of the line that passes through the points (-10,-7) and (2, 13)?

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jasmine569840
jasmine569840 jasmine569840
  • 13-02-2021
Slope (m) =
ΔY
ΔX
=
5
3
= 1.6666666666667
θ =
arctan( ΔY )
ΔX
= 59.036243467926°
ΔX = 2 – -10 = 12
ΔY = 13 – -7 = 20
Distance (d) = √ΔX2 + ΔY2 = √544
= 23.323807579381

Equation of the line:

y = 1.6666666666667x + 9.6666666666667

or
y =
5 x
3
+ 29
3
When x=0, y = 9.6666666666667
When y=0, x = -5.8
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