Answer:
A. Yes
Step-by-step explanation:
Hi there!
We are given the equation of the line [tex]y=\frac{1}{7}x-4[/tex], and we want to see if the point (7, -3) is on that line.
If the point is on the line, then it means that the point is a solution to the equation, meaning that if we plug its values into the equation, it will make a true statement.
This is because a line is made up of an infinite number of points, and they go on forever (there are no endpoints on a line), and so many, many points will belong to that line. The equation of the line simply shows how we can manipulate x and y to find points that belong to that line.
Anyway, in order to figure out if the point is a solution to the equation, we can substitute its values into the equation and see if the statement it makes is true or not
So substitute 7 as x and y as -3
[tex]-3=\frac{1}{7} (7)-4[/tex]
Multiply
-3=1-4
Simplify
-3=-3
This is an identity, which is true.
Therefore, the answer is A, which would be yes.
Hope this helps!
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