Right now, we are given the standard form of the line: ax + by = c
a = 6, b = -3, c = 12
If we use algebra to to change it into its point-slope form, we can easily identify the slope of the equation.
6x - 3y = 12
-3y = 12 - 6x
- 3y = -6x + 12
3y = 6x - 12
3y/3 = (6x - 12)/3
y = 2x - 4
Now the equation is in point-slope form: y = mx + b where m is the slope.
Since m=2, the slope of the line is 2.

A shortcut to find the slope of a line in standard form is m = -a/b
Using the same equation as above, 6x - 3y = 12 a = 6, b = -3
-6/(-3) = 2

4 0

4 years ago

What number must be added to the expression below to complete the square? x^2+x. a.1/4 b.1/2 c.2 d.1

torisob [31]

Option a. 1/4 is the right answer

Step-by-step explanation:

Given expression is:

$x^2+x$

Here

we know that

a = x

In order to find the number which should be added

comparing with the formula

$(a+b)^2 = a^2+2ab+b^2$

$2ab = x\\2.x.b = x\\b=\frac{x}{2x}\\b = \frac{1}{2}$

So, we will add the square of 1/2 which is 1/4

Hence,

Option a. 1/4 is the right answer

Keywords: Expressions, polynomials

Learn more about polynomials at:

#LearnwithBrainly

3 0

4 years ago