Use the image to answer the question.
An illustration of a scatterplot graph shows x-axis ranging from 0 to 10 in increments of 1 and y-axis ranging from 0 to 30 in increments of 2. Multiple points are plotted around a line that points upward to the right with an arrowhead on the bottom.
The line passes approximately through left parenthesis 0 comma 12 right parenthesis, left parenthesis 4 comma 16 right parenthesis, and left parenthesis 6 comma 18 right parenthesis. 12 points are plotted close to the line.
Write an equation in slope-intercept form of the trend line.
(1 point)
y=
y=2x+12
are you sure???
Apologies for the confusion earlier. Without the specific coordinates of the points, it is difficult to determine the exact equation of the trend line. However, based on the given information, the trend line can be approximated as:
y = 2x + 10
To find the equation of the trend line, we can use the formula for the slope-intercept form of a linear equation, which is:
y = mx + b
Where "m" represents the slope of the line, and "b" represents the y-intercept.
Based on the description of the scatterplot graph, the line passes through the points (0,12), (4,16), and (6,18). We can use these points to calculate the slope "m".
The slope "m" is calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the points (0,12) and (4,16) to calculate the slope:
m = (16 - 12) / (4 - 0)
m = 4 / 4
m = 1
Now that we have the slope "m", we can continue to find the y-intercept "b". We can use any point on the line, let's use the point (0,12), and substitute the values into the equation to solve for "b".
y = mx + b
12 = 1 * 0 + b
12 = b
Therefore, the y-intercept "b" is 12.
Now we have the slope "m" and the y-intercept "b", we can write the equation of the trend line in slope-intercept form:
y = 1x + 12
Simplifying the equation, the final answer is:
y = x + 12