Solve the following system of equations by graphing.
1 answer:
Answer:
(0.2, -1.2)
Step-by-step explanation:
When solving a system of equations by graphing, we first plot the two equations on a graph, then the point of intersection of the two graphs is the solution to the system of equations.
Therefore giving the equations y = - x - 1; and y = 14x - 4, we have to first plot the both linear equations using online geogebra graphing tool. The intersection of both linear graphs is the solution to the problem.
We can see that the point of intersection is A(0.2, -1.2)
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Answer: The required co-ordinates of point C are (9, -3.5).
Step-by-step explanation: We are given the points A(3, -5) and B(19, -1).
We are to find the co-ordinates of point C that sit 3/8 of the way along AB, where the point P is close to A than to B.
According to the given information, we have
So, point C divides the line segment AB in the ratio 3 : 5.
We know that
if a point Q divides a line segment joining the points S(a,b) and T(c,d), in the ratio m : n, then the co-ordinates of Q are
Therefore, the co-ordinates of point C are
Thus, the required co-ordinates of point C are (9, -3.5).