Answer:
Step-by-step explanation:
I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:
and for us:
so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is
where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):
y - 3 = 2(x - 3) and
y - 3 = 2x - 6 and
y = 2x - 6 + 3 so
y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.
Any equation in the form
Is a line. So, we only need to sample two points, and then connect them.
If we choose, for example, x=0 and x=3, we have
So, when x=0 then y=0, i.e. the line passes through the origin (0,0).
Similarly, when x=3 then y=2, i.e. the line passes through the point (3,2).
Connect these two points and you have the line.
The constant that can be added to - 3x to form a perfect square trinomial is
The given expression is
- 3x
To form a perfect square trinomial
The given expression is
- 3x
first we have to add a constant term with it
- 3x + z
By comparing the given expression and the perfect square trinomial
a = x
Similarly
-2ab = 3x
where know a =x
Then,
-2b = 3
b = -3/2
Similarly
= z
9/4 = z
Convert the simple fraction to mixed fraction
9/4 =
Hence, the constant that can be added to - 3x to form a perfect square trinomial is
The complete question is :
Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?
and
Learn more about perfect square trinomial here
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