What is the y-intercept for the linear function y-4=2(x-6)
1 answer:
Answer:
<h2>-8</h2>Step-by-step explanation:
Method 1:
The slope-intercept of an equation of a line:
m - slope
b - y-intercept
We have the equation of a line in the point-slope form:
Convert it the the slope-intercept formula:
<em>use the distributive property</em>
<em>add 4 to both sides</em>
Method 2:
The y-intercept is for x = 0. Put x = 0 to the equation:
<em>add 4 to both sides</em>
You might be interested in
The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x + 1369.14
<h3>The data points </h3>The following table of values represents the data points that would be used to solve this question:
x 3 4 5 6 7 8 9
y 470 416 403 226 314 338 693
Where:
- x represents years since 2000
- y represents the annual revenue of a manufacturing company in thousand dollars
The table of values illustrates a quadratic function.
The function would be calculated using a graphing calculator
From the graphing calculator, we have:
a = 32.86; b = -379.14 and c = 1369.14
A quadratic regression equation is represented as:
y = ax² + bx + c
So, we have:
y = 32.86x² - 379.14x + 1369.14
Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x + 1369.14
<h3>Why the function type was chosen?</h3>From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.
This illustrates the behavior of a quadratic regression function
See attachment for the scatter plot
Read more about quadratic regression equation at:
#SPJ1
