Answer:
c). y = 2
Step-by-step explanation:
We can check a line by inputting the x and y from (x, y) into the equation.
For a. y = 2x we get
2 = 2*10 and 2 = 2*(-3), both of those are false
For b. y = 2x - 3 we get
2 = 2*10 - 3 and 2 = 2*(-3) + 10, both of those are false again
For c. y = 2 we get
2 = 2 and 2 = 2, both of those are true, so this is the right answer.
For d. y = 2x + 10 we get
2 = 2*10 + 10 and 2 = 2*(-3) + 10, both of those are false
Alternatively, we can solve the equation y = ax + b (this gives a single answer for any two points with different x's).
y = ax + b
We input (x, y) as (10, 2) and (-3, 2)
2 = a*10 + b = 10a + b
2 = a*(-3) + b = b - 3a
so we have
10a + b = b - 3a
13a = b - b
13a = 0
a = 0
Now we ca use a = 0 to solve either of the equations above:
2 = 10a + b
2 = 10*0 + b
2 = b
so with a=0 and b=2 we get the answer
y = 0*x + 2
y = 2
Which brings us to answer c. again.
