Write the equation of the line with x-intercept 3 and passing through the point (5, 4). A) y − 4 = 1/2 (x − 5) B) y + 4 = 2(x + 5) C) y − 4 = 2(x − 5) D) y + 4 = 1/2 (x − 5)

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asked Mar 28, 2021 124k views

2 Answers

Dlaor · Answer 1 · 2021-03-30T10:02:42+0000

Answer:

The answer is C.

Explanation:

We know two points on the line which are (5,4) and (3,0)

You use the formula
y_2-y_1/x_2-x_1

Which will give you 2. So the slope is 2

Then you continue with the equation-
y=mx+b (m represents the slope whuch is 2) We use the point (5,4) to plug into the equation

After using that equation, you get the y-intercept as -6. So, the equation is
y=2x-6

In the answer choices on C is the same as
y=2x-6 when simplified therefore, the answer is C.