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Marina CMI [18]
2 years ago
14

What is the vertical change from Point A to Point B? What is the horizontal change from Point A to Point B? 8 7 6 What is the ra

te of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary 5 4 3 B. 2. А 1 1 2 2 3 4 5 6 8 9 10​

Mathematics
1 answer:
Yuri [45]2 years ago
7 0

9514 1404 393

Answer:

  • vertical change: 1 unit
  • horizontal change: 2 units
  • rate of change: 0.5

Step-by-step explanation:

The marks on the graph show the vertical change is 1 unit, and the horizontal change is 2 units.

The "rate of change" is the ratio of vertical change to horizontal change:

  rate of change = slope = Δy/Δx = 1/2 = 0.5

Expressed as a decimal, the rate of change is 0.5.

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What is the equation in point -slope form of a line that passes trough the points (3,-5) and (-8,4)
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Answer:

The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)

Step-by-step explanation:

P1=(3,-5)=(x1,y1)→x1=3, y1=-5

P2=(-8,4)=(x2,y2)→x2=-8, y2=4

Equation in Point-Slope Form: y-y1=m(x-x1)

Slope: m=(y2-y1)/(x2-x1)

Replacing the known values:

m=[4-(-5)] / (-8-3)

m=(4+5) / (-11)

m=(9) / (-11)

m=-(9/11)

Equation in the point - slope form:

y-(-5) = -(9/11) (x-3)

y+5 = -(9/11) (x-3)

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