1 - 4 please help !!!!
1 answer:
We can use the slope formula for each of these.
1. 5 - 1 / 4 - 2
4 / 2
2
The slope is 2, and it is rising because it is positive.
2. -5 - 0 / 3 - (-1)
-5 / 4
The slope is -5/4, and it is falling because it is negative.
3. 1 - 1 / -3 - 2
0 / -5
0
The slope is 0, and it is a horizontal line. The value of y is not changing per value of x.
4. -5 - 2 / -1 - (-1)
-7 / 0
Undefined
The slope is undefined because it fails the vertical line test.
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Looking at the problem, you can come up with an equation for the consecutive numbers.
If we expand the second term:
Combine like terms:
You can reduce this by dividing both sides of the equation by two:
And we transpose 170 to get a standard quadratic form that the right side will be zero:
Then factor the left side:
Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14
We can eliminate the negative symbol because the problem is asking for positive even integers.
and;
x - 12 = 0
x = 12
Now we can say that the first positive integer is 12 and the second one is 14
If we expand the second term:
Combine like terms:
You can reduce this by dividing both sides of the equation by two:
And we transpose 170 to get a standard quadratic form that the right side will be zero:
Then factor the left side:
Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14
We can eliminate the negative symbol because the problem is asking for positive even integers.
and;
x - 12 = 0
x = 12
Now we can say that the first positive integer is 12 and the second one is 14