Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
Answer:
On the y axis
Step-by-step explanation:
If x is zero, it automatically has to be on the y axis because x=0 is where the x and y axis intersect.
The parent function is ...
... f(x) = |x|
This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.
The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.
Answer:
The answer is 10/143
Step-by-step explanation:
Answer:
The greatest common factor is 21,
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
