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What is the equation of the line passing through the points (−7 , −5.5) and (−3 , −3.5)) ?

User Aki
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Final answer:

The equation of the line passing through the points (−7 , −5.5) and (−3 , −3.5) is y = 0.5x - 2.5.

Step-by-step explanation:

To find the equation of the line passing through the points (−7 , −5.5) and (−3 , −3.5), we can use the slope-intercept form of a linear equation, which is y = mx + b.

Step 1: Find the slope (m) using the formula m = (y2 - y1) / (x2 - x1). Plugging in the coordinates, we get m = (-3.5 - (-5.5)) / (-3 - (-7)) = 2 / 4 = 0.5.

Step 2: Substitute one of the points' coordinates into the equation and solve for b. Using (-3, -3.5), we have -3.5 = 0.5(-3) + b. Simplifying this gives us b = -2.5.

So, the equation of the line is y = 0.5x - 2.5.

User Andranikasl
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