Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, meaning that you subtract the first y-coordinate from the second y-coordinate and the first x-coordinate from the second x-coordinate. The points we are using are (-4, 0) and (1, -5). Let's plug in the values: -5 - 0 / 1 - (-4). Okay. When we subtract a negative number, we actually add the number. Do the math, and you get -5/5 or just -1. The slope of the line is -1. The formula will be transferred into slope-intercept form, which is y = mx + b, with "m" being the slope, "b" being the y-intercept (where the line crosses the y-axis, with the value of x-axis being 0), and "y" and "x" remaining unfilled. The y-intercept is -4. The formula in slope-intercept form is y = -1x + (-4).
Answer: a.) 40320
b.) 336
Step-by-step explanation:
since we have 8 possible positions, with 8 different candidates, then there are 8 possible ways of arranging the first position, 7 possible ways of arranging the Second position, 6 ways of arranging the 3rd position, 5 possible ways od arranging the 4th position, 4 possible ways of arranging the 5th position, 3 possible ways of arranging the 6th position, 2 possible ways of arranging the 7th position and just one way of arranging the 8th position since we have only one person left.
Hence, the Number of possible sample space for different 8 positions is by multiplying all the number of ways we have in our sample space which becomes:
8*7*6*5*4*3*2*1 = 40320.
b.) By the sample space we have, since we've been asked ti arrange for only the firat 3 positions, then we multiply just for the first 3ways of choosing the positions, this becomes:
8*7*6 = 336
Answer: 69, -69
Step-by-step explanation:
it is easy buddy not lies
Slope-Intercept: y = mx + b ; where "m" is the slope and "b" is the y-intercept
Start with "b". Where does the line cross the y-axis? <em>at 0</em>
Next, look at the slope. Pick two point and count the rise over run. Let's use the points (2, 5) and (4, 10). The rise = +5 (up 5 ) and the run = +2 (right 2)
= 2.5
Now, plug in the "m" and "b" into the Slope-Intercept formula:
y = 2.5x + 0 ⇒ y = 2.5x
Answer: C
Note: you can also use the slope formula to find "m": m = (y₂ - y₁)/(x₂ - x₁)
Answer:
(0,-9)
Step-by-step explanation:
Well first we need to solve the rowing eqation by combining like terms and separating x.
So let’s do -3x
-9 = x -9
+9
x = 0.
So if x is 0 we can plug that in one of the equations.
y = 4(0) - 9
y = -9
So the solution where the 2 lines meet is at (0,-9)
For more proof look at the image below.