Since the slope is (change in y)/(change in x), and a negative number over a positive number is negative (and vice versa), we want to figure that out. Therefore, we would want 2 to be bigger than the x value and 8 smaller than the y value, or the other way around. (0,9) fits the description, as well as (5, 6)
Answer:
Step-by-step explanation:
The standard way of writing equation of a line in a point-slope form is as given;
y - y0 = m(x-x0)
m is the slope of the line
(x0,y0) is a point on the line.
Given the point (-2,-6), in order to determine with of the equation that correctly uses the point, we will substitute the point into the formula and get the necessary equation.
y - y0 = m(x-x0)
y - (-6) = m(x-(-2))
y+6 = m(x+2)
Since we are not given the slope, let's assume the slope is 5/2
The equation becomes y+6 =5/2(x+2). Option D is correct
ANSWER TO QUESTION 1

We multiply through by the Least Common Multiple which is 2.


We expand brackets to obtain,

Grouping like terms, have


Whenever you solve an equation and you get the above result, you don't have to get confuse.
It simply means the question does not have a UNIQUE solution.
That any real number will number will satisfy the above equation.
Hence,

ANSWER TO QUESTION 2

We factor x to obtain;

We divide both sides by (a+b)
Answer:
8m-4=16
8m=20
m=2.5
Step-by-step explanation:
Answer:
(3, -3)
Step-by-step explanation:
The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).