Remembering that "slope" signifies "rise" over "run," read off the rise and run from the illustration. If we start at x=-4 and move to the right 4 units, x becomes 0. The "run" is thus 4. At the same time, y increases from 0 to 2, and so the "rise" is 2.
The slope is rise/run = 2/4 = 1/2.
The y-intercept can also be read off the graph: Find the y-value on the x-axis where the graph (the sloping line) crosses the y-axis. It's 2.
Thus, the equation of this line is y = mx + b, or y = (1/2)x + 2.
Answer:
2 times larger
Step-by-step explanation:
The original fraction should be 7/6.
Answer:
x = 6 1/4
y = 3 3/4
Step-by-step explanation:
let 'x' = gallons of 6% nitrogen
let 'y' = gallons of 30% nitrogen
system of equations:
x + y = 10; let y = 10-x
6x + 30y = 10(15)
substitute '10-x':
6x + 30(10-x) = 150
6x + 300 - 30x = 150
-24x = -150
x = 6 1/4
y = 3 3/4
Answer:
80 pints
Step-by-step explanation: