Answer:
Option (B)
Step-by-step explanation:
In the figure attached,
A straight line is passing through two points (0, 2) and (3, 1).
Slope of this line (
) = 
= 
= 
Let the slope of a parallel to the line given in the graph = 
By the property of parallel lines,
Equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of the parallel line which passes through (-3, 0) and having slope = will be,
Option (B). will be the answer.
-6.2 plus -4.8 is -11. add the 3.8 to get -7.2
-4.8 plus 3.8 is -1
-1 plus -6.2 is -7.2
-7.2=-7.2
14 = 31.7 - 3x
-17.7 = -3x <---- I subtracted 31.7 from both sides
5.9 = x <---- I divided both sides by -3
The choices are in the slope-intecept form: y = mx + b, where m is the slope and b is the y-intercept. Looking at the graph, the y-intercept is the point at which it intersects the y-axis. That would be -1. So, the answer is either the 1st or 2nd choice. Next, we find the slope. Take 2 points that lie along the line. For example, points (1,2) and (2,5). Calculate for the slope.
m = (y2-y1)/(x2-x1)
m = (5-2)/(2-1)
m = 3
Hence, the graph is y = 3x - 1
Using Visual inspection, the model which fits the data in the distribution better is the power function.
The power and linear functions can of the data can both be modeled using technology,
<u>Using Technology</u> :
The power function in the form 
which models the data is 
The linear function in the form 
which models the data is 
- Where A = intercept and B = slope
- From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively.
- Hence, the power model is a better fit for the data than the linear model.
Therefore, Inspecting the models visually, the power function fits the data better as the points on the curve are closer to the regression line than on the linear model.
Learn more :brainly.com/question/18405415
