Answer:
12
Step-by-step explanation:
The missing number is the y-intercept (b) of the table of values given.
Since we already know from the equation that the slope (m) = -³/2, therefore to find y-intercept (b) substitute the coordinates of a pair of value, say (x, y) = (4, 6), and m = -³/2 into y = mx + b
Thus,
6 = -³/2(4) + b
6 = -6 + b
6 + 6 = b
b = 12
The missing number is 12.
Which will give you:
[tex] y = -\frac{3}{2}x + 12 [/tex]
