Question

To find three plot points for the equation -3y = 5x - 7, we can choose values for x and solve for y. Here are three plot points:

Option 1: x = 0
Option 2: x = 3
Option 3: x = -2
Option 4: x = 7

Answer 1

To obtain plot points for the equation -3y = 5x - 7, solve for y for various x-values and find the resulting coordinates. Example plot points are (0, 2.33), (3, -2.67), (-2, 5.67), and (7, -9.33). These points can be used to graph the line on a Cartesian plane.

Step-by-step explanation:

To find three plot points for the linear equation -3y = 5x - 7, we can select different values for x and solve for y. First, rearrange the equation to solve for y by dividing each term by -3:

y = -5/3x + 7/3

Now, we can find y for the given x-values:

• Option 1: x = 0, y = -5/3(0) + 7/3, so y = 7/3 or approximately 2.33.
• Option 2: x = 3, y = -5/3(3) + 7/3, so y = -5 + 7/3, which simplifies to -8/3 or approximately -2.67.
• Option 3: x = -2, y = -5/3(-2) + 7/3, so y = 10/3 + 7/3, which is 17/3 or approximately 5.67.
• Option 4: x = 7, y = -5/3(7) + 7/3, which simplifies to -35/3 + 7/3, resulting in -28/3 or approximately -9.33.

The corresponding plot points would be (0, 2.33), (3, -2.67), (-2, 5.67), and (7, -9.33). These points can be plotted on a Cartesian plane to visualize the line represented by the equation.