Question

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

negative StartFraction 5 Over 2 EndFraction
negative StartFraction 2 Over 5 EndFraction
StartFraction 2 Over 5 EndFraction
StartFraction 5 Over 2 EndFraction

Answer 1

Answer:

-1/2

Step-by-step explanation:

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10

Answer 2

The slope of the line represented by 2x + 5y = 10 is: negative StartFraction 2 Over 5 EndFraction (–2 / 5)

Slope of a line

Slope = Chang in y-coordinate / change in x-coordinate

m = (y₂ – y₁) / (x₂ – x₁)

How to determine the slope

• Points = (5, 0) and (0, 2)
• x-coordinate 1 (x₁) = 5
• x-coordinate 2 (x₂) = 0
• y-coordinate 1 (y₁) = 0
• y-coordinate 2 (y₂) = 2
• Slope (m) =?

m = (y₂ – y₁) / (x₂ – x₁)

m = (2 – 0) / (0 – 5)

m = 2 / –5

m = –2 / 5

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