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stellarik [79]
3 years ago
8

Line CD passes through points C(1, 3) and D(4, –3). If the equation of the line is written in slope-intercept form, y = mx + b,

what is the value of b?
Mathematics
2 answers:
statuscvo [17]3 years ago
6 0
The answer is 5 for the value of b l the work is shown here
enot [183]3 years ago
4 0

Answer:

b = 5

Step-by-step explanation:

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = C(1, 3) and (x₂, y₂ ) = D(4, - 3)

m = \frac{-3-3}{4-1} = \frac{-6}{3} = - 2, hence

y = - 2x + b ← is the partial equation of the line

To find b substitute either of the 2 points into the partial equation

Using (1, 3), then

3 = - 2 + b ⇒ b = 3 + 2 = 5

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Point-slope formula; 

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hope this helps, God bless!
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