Hello from MrBillDoesMath
Answer: y = (-9/4)x - 4. Sample table provided below
Discussion :
Slope intercept form of a line is y = mx + b where m is the slope of the non-vertical line.
m = (diff of y values) / (diff of x values) =
(-4 -5) /( 0- (-4)) = -9 / (4) = -9/4
So y = (-9/4)x + b. As the line passes through the point ( -4,5), substituting those x, y values in the point intercept form gives
5 = (-9/4)(-4) + b =>
5 =-9 + b => (subtract 9 form each side)
5 - 9 = -4 = b, so b = -4
y = (-9/4)x - 4
The problem asks for this in a table..... (a small sample follows)
x y
0 -4
4 -13
8 -22
12 -31
Thank you,
Mr. B
