Find the equation of the line with slope =8 and passing through (3,21) write your equation in the form y=Mx+b

Mathematics

1 answer:

stiks02 [169]3 years ago

4 0

Answer: y = 8x -3

Step-by-step explanation:

we know the slope already which is 8.

so the equation is: y = 8x + b

subsutite the x and y to get the value of b

21 = 8(3) + b

21 = 24 + b

b = -3

So the equation is: y = 8x -3

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A parabola with no real zeros, a negative leading coefficient, and an odd y-intercept.<br> pls help!

pishuonlain [190]

Answer:

Step-by-step explanation:

A parabolic graph with no real zeros never touches or crosses the x-axis.

If the leading coefficient is negative, that tells us that the parabola opens down (and, in this case, that the entire graph is below the x-axis, because there are no real zeros.

If the y-intercept is odd, then the constant term, c, in ax^2 + bx + c, must be a negative, odd integer.

Suppose we say that the vertex of a particular parabola that is described by the above is (-2, -1) and that the y-intercept is -3. (Note: this is strictly an example.) Then the vertex equation of this parabola is obtained from the general vertex equation of a parabola,

y = a(x - h)^2 + k. Here h = -2 and k = -1, and so the particular parabola is

y = -a(x + 2)^2 - 1, where a is a constant and -a is negative.

In general form, this would be y = -a(x^2 + 4x + 4) - 1, or

y = -ax^2 - 4ax - 4a -1

and the constant terem (-4a -1) must be an odd negative integer

This is only one of an infinite number of possible equations for the parabola described above.

5 0

3 years ago

Read 2 more answers

What is a common denominator for 2/8 and 3/4 in simplest form?

yKpoI14uk [10]

One least common denominator can be 2