Question

Which points are on the the graph equation -3x+6y+5=-7

Answer 1

To find points on the graph of the equation -3x + 6y + 5 = -7, solve for y to get y = 0.5x - 2. Then choose values for x, find corresponding y values, and plot these points.

Step-by-step explanation:

The student is asking about which points lie on the graph of the linear equation -3x + 6y + 5 = -7. To find points on the graph, we need to solve this equation for y. By rearranging the terms, we get 6y = 3x - 12. Dividing by 6 yields y = 0.5x - 2. Now, we can choose any value for x and find the corresponding value of y that satisfies this equation. For example, if x = 0, then y = -2, so one point on the graph is (0, -2). Similarly, if x = 2, then y = 1, and another point is (2, 1). These points can be plotted on a line graph with 'x' on the horizontal axis and 'y' on the vertical axis to visually represent the equation.

Answer 2

-3x + 6y + 5 = -7
-5 -5
-3x + 6y = -12
-3x + 3x + 6y = -12 + 3x
6y = -12 + 3x
6 6
y = -2 + 1/2x
-3x + 6(-2 + 1/2x) = -12
-3x - 12 + 3x = -12
-3 + 3x - 12 = -12
0x - 12 = -12
+12 +12
0x = 0
0 0
x = 0
-3(0) + 6y = -12
0 + 6y = -12
+0 +0
6y = -12
6 6
y = -2
(x, y) = (0, -2)