3x + 4y = - 8
The equation of a line in standard form is Ax + By = C
where A is a positive integer and B, C are integers
Express the line in ' slope- intercept form '
y = mx + c → (m is the slope and c is the y-intercept)
here m = - and c = - 2
hence y = - x - 2 → equation in slope- intercept form
multiply all terms by 4
4y = - 3x - 8
add 3x to both sides
3x + 4y = - 8 → in standard form
Answer: (C) 16
Step-by-step explanation:
Given : Number of sizes of self-stick notepads= 2
Number of colors = 4
Type 1 : The store packs the notepads in packages that contain 3 notepads of the same size.
i.e. By Fundamental principle of counting , we have
Number of different packages possible = Number of colors x No. of sizes
=
Type 2: Notepads of the same size and of 3 different colors.
Choices for 3 different colors out of 4 :
Again by fundamental principle :
Number of different packages possible = No. of choices for choosing 3 different colors x No. of sizes
=
From Type 1 and Type 2 , the total number of different packages of the types described above are possible =8+8= 16
Hence, the correct answer is option (c) 16.