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Verizon [17]
3 years ago
10

Question 5 (4 points) (05.02) A line passes through (28) and (4, 12). Which equation best represents the line? (4 points) Oa y=

2x=6 Ob y=*-7 Ос 1 y=2x-10​

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

Answer:

y = 2x + 4

Step-by-step explanation:

Given

(x_1,y_1) = (2,8)

(x_2,y_2) = (4,12)

Required

Determine the line equation

This will be solved using linear interpolation as follows:

\frac{y - y_1}{x - x_1} =\frac{y_2 - y_1}{x _2- x_1}

Where:

(x_1,y_1) = (2,8)

(x_2,y_2) = (4,12)

So, we have:

\frac{y - 8}{x - 2} =\frac{12 - 8}{4-2}

\frac{y - 8}{x - 2} =\frac{4}{2}

\frac{y - 8}{x - 2} =2

Cross Multiply:

y - 8 = 2(x - 2)

Open bracket

y - 8 = 2x - 4

Make y the subject

y = 2x - 4+8

y = 2x + 4

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