Which choices are equations for the line shown below? Check all that apply.(-2,5) 51(2-3)A. y + 3 = -2(x-2)B. y-5= -2(x + 2)O C. y = 2x + 1I D. y=-0.5x + 1E. y-5--2(x-2)OF. y=-2x + 1
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Solution
For this case we have two points given :
(-2,5) and (2,-3)
We can find the slope on this way:
[tex]m=\frac{-3-5}{2-(-2)}=-2[/tex]And the intercept would be:
5 = -2(-2)+b
5 = 4 +b
b= 1
Then the original equation is:
y= -2x+1
And we need to find equivalent equations so we can analyze one by one the options like this:
A. y+3 = -2(x-2)
y+3 = -2x+4
y =-2x+1
B. y-5 = -2(x+2)
y-5 =-2x-4
y = -2x +1
C. y=2x+1
D. y= -0.5x +1
E. y-5 = -2(x-2)
y-5 = -2x +4
y= -2x+9
Then the correct options are A and B