Determine which three out of the six points shown below are a solution to the equation 2, x, plus, y, equals, minus, 7, .2x+y=−7. Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.
left bracket, minus, 7, comma, minus, 3, right bracket(−7,−3), left bracket, minus, 4, comma, 1, right bracket(−4,1), left bracket, minus, 6, comma, 5, right bracket(−6,5), left bracket, 0, comma, 3, right bracket(0,3), left bracket, minus, 4, comma, 6, right bracket(−4,6), left bracket, minus, 3, comma, minus, 1, right bracket(−3,−1)
To determine which points are solutions to the equation, we substitute the x and y values into the equation and see if the equation holds true.
For the equation 0.2x + y = -7:
Substituting (-7, -3): 0.2(-7) + (-3) = -1.4 - 3 = -4.4 ≠ -7
Substituting (-4, 1): 0.2(-4) + 1 = -0.8 + 1 = 0.2 ≠ -7
Substituting (-6, 5): 0.2(-6) + 5 = -1.2 + 5 = 3.8 ≠ -7
Substituting (0, 3): 0.2(0) + 3 = 0 + 3 = 3 ≠ -7
Substituting (-4, 6): 0.2(-4) + 6 = -0.8 + 6 = 5.2 ≠ -7
Substituting (-3, -1): 0.2(-3) + (-1) = -0.6 - 1 = -1.6 ≠ -7
None of the points are solutions to the equation.
Therefore, there are no points to plot or a line to draw.