A) Determine the functions whose graphs are parallel to the graph of the function y=0.5x+10 and intersect the graph of the funct
1 answer:
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Answer:
The graph is attached below in DESMOS
Step-by-step explanation:
Given:
x- 2y = 6
It is the equation of a line
Intercepts:
The line which intersect on x-axis and y-axis are called intercepts.
There are two intercepts:
x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.
y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.
We need to graph the equation using the X and Y intercepts,
For y-intercept
put x = 0 in the given equation we get
0 - 2y = 6
-2y = 6
∴ y = -3
∴ B ≡ (0 ,-3) {blue color in desmos i.e y-intercept}
For x-intercept
put y = 0 in the given equation we get
x - 2 × 0 = 6
x = 6
∴ x = 6
∴ A ≡ (6 , 0) {green color in desmos i.e x-intercept}
For a graph we require minimum two points so we have point A and point B see the attachment below.
