We know that
if the point belongs to the graph, then it must satisfy the given function.
We proceed to verify each of the points
we have
\(f(x) = 7 - 3x\)
case a) \((-2, 1)\)
\(x=-2\\y=1\)
Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point
\(f(x) = 7 - 3*(-2)\)
\(f(x) = 13\)
\(13
eq 1\) --------> the point not lie on the graph
case b) \((-1, 10)\)
\(x=-1\\y=10\)
Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point
\(f(x) = 7 - 3*(-1)\)
\(f(x) = 10\)
\(10=10\) --------> the point lie on the graph
case c) \((0, 7)\)
\(x=0\\y=7\)
Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point
\(f(x) = 7 - 3*(0)\)
\(f(x) = 7\)
\(7=7\) --------> the point lie on the graph
case d) \((1, 5)\)
\(x=1\\y=5\)
Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point
\(f(x) = 7 - 3*(1)\)
\(f(x) = 4\)
\(4
eq 5\) --------> the point not lie on the graph
case e) \((2, 1)\)
\(x=2\\y=1\)
Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point
\(f(x) = 7 - 3*(2)\)
\(f(x) = 1\)
\(1=1\) --------> the point lie on the graph
therefore
the answer is
Points that lie on the graph are
\((-1, 10)\)
\((0, 7)\)
\((2, 1)\)
see the attached figure to better understand the problem
