Mathematics
Grade-8
Easy
Question
What is the equation of the trend line in the scatter plot?
Use the two blue points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.
- y =
x + 8 - y = - x + 8
- y =
x + 8 - y = - x + 8
x + 8 x + 8 x + 8 x + 8
Hint:
Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis.
The correct answer is: y = - x + 8
The given points are (x1, y1) = (0, 8) and (x₂, y₂) = (8, 4).
Step 1: Find the slope of the function using the slope formula:
m = (y₂ - y1) / (x₂ - x1) = (4 - 8) / (8 - 0) = -4/8 = -1/2.
Step 2: Find the equation of linear function using the point slope form.
y - y1 = m (x - x1)
y - 8 = -1/2 (x - 0)
y - 8 = -1/2 (x)
y = -1/2(x) + 8
Therefore, the equation of the linear function is, y = -1/2(x) + 8.
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