SOLUTION: is the point (-1,5) a solution to the equation {{{y=-2x+3}}} ? How can you tell by looking at the graph?How can you tell by using the equation?

Algebra ->  Graphs -> SOLUTION: is the point (-1,5) a solution to the equation {{{y=-2x+3}}} ? How can you tell by looking at the graph?How can you tell by using the equation?      Log On


   

Question 1101641: is the point (-1,5) a solution to the equation y=-2x%2B3 ? How can you tell by looking at the graph?How can you tell by using the equation?
Found 2 solutions by Boreal, Lukel0123:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Using the equation, 5=-2(-1)+3 is in fact an equality, so it is a solution.
graph y=-2x+3, which has y-intercept +3 and slope -2. See if (-1, 5) is on the line. It is.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B3%29

Answer by Lukel0123(1) About Me  (Show Source):
You can put this solution on YOUR website!
You can graph the line using the y-intercept and the slope given in the equation and estimate if the point is on the line; however it is better to solve it algebraiclly. The most accurate and efficient way to solve this problem is the plug in the x-value (-1) and the y-value (5) into the equation and see if the equation is a true statement.
y=-2x%2B3
%285%29=-2%28-1%29%2B3
5=2%2B3
5=5
You can conclude that (-1, 5) is a solution of that equation.