To find the equation of the line in slope-intercept form, y = mx + b, we can start by solving for the slope. The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.
The slope formula is:
m = (y2 - y1)/(x2 - x1)
We need to select 2 pairs of points from your given table.
Let (x1, y1) = (1, 8)
(x2, y2) = (2, 10)
Plug these values into the formula:
m = (y2 - y1)/(x2 - x1)
m = (10 — 8)/(2 — 1)
m = 2/1 or 2.
Therefore, the slope of the line is 2.
Next, we need to figure out what the y-intercept of the line is. The y-intercept is the point where the line crosses the y-axis. The y-intercept is also the value of y when x = 0.
Looking at your given table, you have an ordered pair, (0, 6) — this is the y-intercept. The y-coordinate (6) is the value of “b” in the slope-intercept form, y = mx + b.
Now that we have our slope (m) = 2, and y-intercept (b) = 6, we can write our equation as follows:
y = 2x + 6
Please mark my answers as the Brainilest if you find my explanations helpful :)
In order to choose the boxplot , you can follow this step :
- Determine the start point and the end point of the boxplot,
You can do this by finding the smallest and the highest number. In this case, the start point will be : 65 , The end point will be 119
- the next is found the box that cover other numbers, in this case, found the box that cover 90 to 116
And then pretty much it, hope this helps
Answer:
Step-by-step explanation:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept(value of x when y = 0).
In this question:
Slope 4, which means that 
.
So
Contains point (1,-8).
This means that when 
. We replace this into the equation to find b. So
So
Answer:
9 is the real part
7i is the imaginary part
Hope this helps :) Brainliest is greatly appreciated.
Answer:
A
Step-by-step explanation:
Note that
x² + 12x + 36 is a perfect square → (x + 6)², hence
= 
= (x + 6)
Hence
f(x) × g(x)
= (x + 6)(x³ - 11)
= 
- 11x + 6x³ - 66
= + 6x³ - 11x - 66 → A
