Evaluate 8x - 3 + y If x = 2 and y = 1
2 answers:
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Answer:
A few examples:
0. 0
1. Undefined
2. -3/5
3. Undefined
...
7. 493
8. 5/2
....
Learn how to find the slope below for the other problems.
Step-by-step explanation:
Slope is the rate of change for a linear function. It is found by subtracting the y values of two point on the line and dividing that difference by the difference of the x values of the points.
It can also be found using the formula y=mx+b known as the slope intercept form.
Here are a few examples:
0. This is a horizontal line which always has slope 0.
1. This is a vertical line which always has slope undefined.
2. Find two points that cross through a grid line intersection The line appears to cross them at (5,3) and (0,6). Count the unit squares between the two by counting up 3 and over to the left 5. Because it is left it is negative. The slope is -3/5
3. To find the slope, use the slope formula:
Since we can't divide by 0, it is undefined.
7. y=493x-257 follows the formula y=mx+b where m is the slope. m=493. The slope is 493.
8. Covert the equation into y=mx+b by rearranging the terms using y=mx+b.
5x-2y=48
-2y=48-5x
y=5/2 x -24
So the slope is 5/2.
Part A)
The given equation is:
The radicand or discriminant(d) of the equation will be:
Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)
The given equation is:
We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:
The given equation is:
The radicand or discriminant(d) of the equation will be:
Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)
The given equation is:
We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get: