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.