Question

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)

Answer 1

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.

Answer 2

C. y − 4 = 2(x − 5)

Explanation: