The equation of the relationship in the table, in slope-intercept form, is: y = x + 5.
What is the Slope-intercept Form?
The slope-intercept form for a relationship between two variables x and y is represented as: y = mx + b, where:
- m = slope = change in y / change in x
- b = y-intercept.
Slope (m) = change in y / change in x = 47 - 42 / 42 - 37 = 5/5
Slope (m) = 1
Substitute (37, 42) = (a, b) and m = 1 into y - b = m(x - a):
y - 42 = 1(x - 37)
y - 42 = x - 37
y = x - 37 + 42
y = x + 5
Equation for the relationship in the table is: y = x + 5
Learn more about the slope-intercept form on:
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