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)

Question

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Respuesta :

hoanganh384628 hoanganh384628 · Answer 1 · 2020-05-12T18:59:12+02:00

Answer:

C. y − 4 = 2(x − 5)

Step-by-step explanation:

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jnabugasha jnabugasha · Answer 2 · 2020-05-12T19:11:27+02:00

Answer:

The answer is C.

Step-by-step explanation:

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

You use the formula [tex]y_2-y_1/x_2-x_1[/tex]

Which will give you 2. So the slope is 2

Then you continue with the equation- [tex]y=mx+b[/tex] (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 [tex]y=2x-6[/tex]

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