The answer is:
b. y - 2 = 2/3(x-1)
c. y - 4 = 2/3(x-4)
e. f(x) = 2/3 + 4/3
The equation ([tex]y = \frac{2}{3} x + c[/tex] ) can be used to determine every possible point on the given graph.
The given parameter;
slope of the line = 2/3
The general equation of a line is given as;
[tex]y = mx + c[/tex]
where;
m is the slope
c is the y-intercept of the graph
Substitute the given slope value into the equation above;
[tex]y = \frac{2}{3} x + c[/tex]
c can be any real number
Thus, the equation ( [tex]y = \frac{2}{3} x + c[/tex] ) can be used to determine every possible point on the given graph.
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