Question

Write an equation in standard form of the line that passes through the given points.
Can someone check my answers?

(2,6)(3,8) -2x+y=2
(7,-3)(4,-1) 4/3x+y=19/3
(3,-8)(5,-9) 1/2x+y=-13/2
(-5,6)(2,-3) 9/7x+y=-3/7
(-3,-1)(6,-8) 7/9x+y=-10/3

Answer 1

better form ....
-2x + y = 2 ---> 2x - y = -2
4/3x+y=19/3 ----> 4x + 3y = 19
1/2x+y=-13/2 ----> x + 2y = -13
9/7x+y=-3/7 ---->9x + 7y = -3
7/9x+y=-10/3 ----> 7x + 9y =-30

can you see what I did?
A proper way to write equation in standard form:
- no fractions should show up (You can always get rid of fractions by multiplying each term by the LCD)
- the x term should be first and be positive

Now to check if they are right, simply sub in your points, both must satisfy your equation.

I think the second one is wrong!
slope = (-1+3)/(4-7) = - 2/3
using (4,-1)
y+1 = (-2/3)(x-4)
3y + 3 = -2x + 8
2x + 3y = 5
........ both points work in this one

Answer 2

-2x + y = 2

2x + 3y = 5

x + 2y = -13

9x +7y = -3

7x + 9y = -30

Answer 3

thanks