Write the slope-intercept in a table, through: (x, y) (-4,5) and (0,-4) ! pls!

Hello from MrBillDoesMath

   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

answer: x=3 and y=4

step-by-step explanation: