Hello from MrBillDoesMath!
Answer:
y = -2x + 1
Discussion:
Let m = slope of line. Then
m = (change in y ) / (change in x)
= (-3 - 3)/(2- -1)
= -6/ (2 +1)
= -6/3
= -2
So y = mx + b = -2x + b. As the line passes through the point (2, -3), by substitution,
-3 =-2(2) + b => as 4 to both sides
-3 + 4 = ( -2(2) +4) + b => (-2(2) +4) = -4 + 4 = 0
1 = 0 + b =>
b = 1
The equation of the line is y = -2x + 1, the first choice provided
Thank you,
MrB
