Question

X+5y=7 Use the given x-coordinates {-3, 2, 7} to find solution points that should be plotted when graphing this equation.

a) (−3,2)
b) (2,1)
c) (7,0)
d) (0,1)

Answer 1

The correct solution points to plot when graphing the equation x+5y=7 are: (7,0). The correct answer is option c) (7,0).

Step-by-step explanation:

The correct answer is option c) (7,0).

To find the solution points when graphing the equation x+5y=7, we substitute the given x-coordinates into the equation and solve for y.

1. For x = -3, substitute x = -3 into the equation: -3 + 5y = 7
   Simplify and solve for y:
   -3 + 5y = 7
   5y = 10
   y = 2
2. For x = 2, substitute x = 2 into the equation: 2 + 5y = 7
   Simplify and solve for y:
   2 + 5y = 7
   5y = 5
   y = 1
3. For x = 7, substitute x = 7 into the equation: 7 + 5y = 7
   Simplify and solve for y:
   7 + 5y = 7
   5y = 0
   y = 0

Therefore, the solution points that should be plotted when graphing this equation are: c) (7,0).