What is the slope of a line with points at (-5,2) (4,-7)?
2 answers:
Answer:
-1
Step-by-step explanation:
To find the slope of a line, you would need to use the slope formula, and that is
This equation should be used every time you need to find a slope with two given points. If you remember this, you would find questions like this more easy.
First, you would need to plug in your coordinate points into the formula.
You would plug -7 in y2, 2 in y1. And then you will plug in 4 in x2, and -5 in x1.
Your equation should look like this:
Then you solve.
For the top portion of your equation you would get -9. The -5 turns into a positive 5 because when you carry the negative over (distribute it), the negative cancels out and turns into a positive. When you add the 5 and the 4 together, it will get you 9. The bottom portion of the equation will be 9.
Your equation should now look like this:
Now, you divide.
When you divide, the two 9's end up as a whole, and you keep the negative since the negative doesn't cancel out in this situation. When you finish dividing, you would get -1.
Your FINAL answer would be -1.
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Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
To find the slope (m), use the slope formula:
And plug in the two points
(-2, 7) = (x₁, y₁)
(4, -5) = (x₂, y₂)
(two negative signs cancel each other out and become positive)
Simplify the fraction
m = -2
The slope is -2, so the parallel line's slope is also -2.
Your answer is C
Answer:
See below
Step-by-step explanation:
images attached showing all working
a) The possible values of X are as follows
X = {0,1,2,3,4}
P(x) = P(X=x)
b) The cdf in this case, as in the F(x), comes out to be a step function graph on the basis of values obtained from the probability mass function.
c) To find out the probability when more women are interviewed than me, add together the matrices from when value of X is equal to 2, 3 and 4 (from part a).
<u>Answer:</u>
Both Sally ans Manny can detail a car in 20.6 min.
<u>Solution: </u>
Let us assume that together they will take total x minutes to detail the car.
Sally detail the car in 50 min.
So in 1 min sally can detail \left(\frac{1}{50}\right) of the car.
Hence in x min sally can detail \left(\frac{x}{50}\right) of the car.
Manny can detail a car in 35 min.
So in 1 min many can detail \left(\frac{1}{35}\right) of the car.
Hence in x min Manny can detail \left(\frac{x}{35}\right) of the car.
So we can say,
\left(\frac{x}{50}\right)+\left(\frac{x}{35}\right)=1
x\left(\frac{1}{50}+\frac{1}{35}\right)=1
x\left(\frac{7+10}{350}\right)=1
\left(\frac{17 x}{350}\right)=1
x=\left(\frac{350}{17}\right)=20.5
8 20.6
So, both of them can detail a car in 20.6 min.