Question

State whether every point on the graph is a solution of the equation. Explain why or why not. also who ever anwsers right will get a fan and a medal



3x – 2y = –6





A.
Every point shown on the graph is a solution of the equation because when the coordinates of the points are substituted into the equation, the equation is true for all the points.


B.
Every point shown on the graph is not a solution of the equation because when the coordinates of the points are substituted into the equation, the equation is not true for all the points.

Answer 1

while it's not strictly necessary, you could solve this equation for y, and then choose several values of x and calculate the corresponding y value. This would give y ou several points on the graph (which is a straight line, by the way). Then you could actually check each point (set of coordinates) to determine whether or not they satisfy the given equation.

For example, if x = 0, y = 3, and we have the point (0,3). If y = 0, x = -2, and we have the point (-2,0). In each case, substitute the coordinates of the point into the original equation, 3x – 2y = –6, and determine whether the equation is "true" or "false."

Answer 2

Alternatively, draw this graph (very neatly and accurately). Identify the coordinates of random points on this graph (line). substitute the x- and y-coordinates of each point into the equation of the line. In each case, ask yourself: Is this equation true for this point?