The equation of the line in point-slope form is: y - 5 = 4/5(x - 5).
<h3>How to Write the Equation of a Line?</h3>
In point-slope form, the equation of any line is modelled as y - b = m(x - a) where:
the slope of the line = m
a point on the line = (a, b)
Given the following:
(5, 5) and (0,1)
Find the slope of the line:
Slope (m) = change in y / change in x = (5 - 1)/(5 - 0)
Slope (m) = 4/5
Substitute m = 4/5 and (a, b) = (5, 5) into y - b = m(x - a):
y - 5 = 4/5(x - 5)
Thus, the equation of the line in point-slope form is: y - 5 = 4/5(x - 5).
Learn more about the point-slope form on:
brainly.com/question/24907633
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