Which of the following statements is true regarding the graph of the equation 5x

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Question: Which of the following statements is true regarding the graph of the equation 5x + 2y = 10?

Options:

Correct Answer: It has a negative slope.

Solution:

Rearranging the equation to y = -5/2x + 5 shows that the slope is negative.

Which of the following statements is true regarding the graph of the equation 5x + 2y = 10?

Which of the following statements is true regarding the graph of the equation 5x + 2y = 10?

Step 1: Start with the equation 5x + 2y = 10.
Step 2: To find y, we need to rearrange the equation. First, subtract 5x from both sides: 2y = 10 - 5x.
Step 3: Now, divide every term by 2 to solve for y: y = (10 - 5x) / 2.
Step 4: Simplify the right side: y = 10/2 - (5/2)x, which gives y = 5 - (5/2)x.
Step 5: Rewrite the equation in slope-intercept form (y = mx + b), where m is the slope. Here, y = -5/2x + 5.
Step 6: Identify the slope from the equation. The slope (m) is -5/2, which is negative.

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