Question

What is the standard form of the equation containing the ordered pairs (0.5, 3) and (1, -0.75)?

Options:
A) 4x - 8y = 7
B) 8x - 4y = 7
C) 4x + 8y = 7
D) 8x + 4y = 7

Answer 1

The standard form of the equation containing the given ordered pairs (0.5, 3) and (1, -0.75) is 8x - 4y = 7.

Step-by-step explanation:

To find the standard form of the equation containing the ordered pairs (0.5, 3) and (1, -0.75), we can use the formula for the standard form of a linear equation, which is ax + by = c. First, let's calculate the values of a, b, and c using the given coordinates.

Substituting the first point (0.5, 3) into the equation, we get:
0.5a + 3b = c

Substituting the second point (1, -0.75) into the equation, we get:
1a - 0.75b = c

By solving these two equations simultaneously, we find that the standard form of the equation is 8x - 4y = 7 (Option B).