Question

Write the equation of the line that passes through the points (1,4) and (5,8) in standard form.

Question 8 options:

x + 4y = 1


5x + 8y = 4


-2x + y = 5


-x + y = 3

Answer 1

Hi again Mr. Joseph!

Well, the correct answer is option D

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We need to find the equation using two points.

But the trick is that you need to solve for y but not x
So let's solve for y
- x + y = 3
Add x to both sides (Why? because we don't want x, so we need to get it out)
-x + y + x = 3 + x
y = x + 3
That's the correct equation.

They gave us (1,4)(5,8)
Use the slope formula and slope intercept form.
Do you know what the formula is?
Well, it looks like this
y = mx +b

So yeah, when we do all of that, we ended up having -x + y =3

Once again,
The correct answer is D

Best of luck with your studies!

Credit to my graphing calculator, here is how the points looks like on the graph

Answer 2

D is your answer

plug in the x value and y value to the equation

when x = 1, and y = 4
-1 + 4 = 3

when x = 5, and y = 8
-5 + 8 = 3

hope this helps :D