Hey there!!
The basic slope-intercept formula :
y = mx+ b where ' m ' is the slope and ' b ' is the slope-intercept.
Given equation : 7x - 2y = 8
We will have to isolate the ' y '
... 7x - 2y = 8
Subtract 7x on both sides
... -2y = -7x + 8
Divide by - 2 on both sides
... y = ( 7x / 2 ) - 4
Hence,
slope = 7/2 = 3.5
y-intercept = ( 0 , -4 )
Hope it helps!!
For the answer to the question above, If you've noticed, the statement mentioned "a number". Let's assign x to be the number. The first statement is twice a number (2x). Then, decreased by the quotient of that number and 2 (-x/2). Lastly, the statement at least 12 is written as >12.
So the answer is
2x - (x/2) >12
7/8 + 7/12 = 35/24 = 1 11/24
