Final answer:
To find the linear equation from the points (-3, -6) and (2, -2), calculate the slope and use the point-slope form of a linear equation.
Step-by-step explanation:
To find the linear equation from the points (-3, -6) and (2, -2), we can first calculate the slope using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values, we get: m = (-2 - (-6)) / (2 - (-3)) = 4 / 5 = 0.8. Next, we can use the point-slope form of a linear equation: y - y1 = m(x - x1). Using one of the given points, (-3, -6), and the calculated slope, 0.8, we have: y - (-6) = 0.8(x - (-3)). Simplifying further, we get: y + 6 = 0.8(x + 3). Distributing the 0.8, we have: y + 6 = 0.8x + 2.4. Finally, subtracting 6 from both sides, we get the linear equation: y = 0.8x - 3.6.