Final answer:
To find the equation of the line that passes through the points (28, 39) and (38, 51), we first need to find the slope of the line. Using the point-slope form of a linear equation, we can write the equation of the line as 1.2x - y = -5.4.
Step-by-step explanation:
To find the equation of the line that passes through the points (28, 39) and (38, 51), we first need to find the slope of the line. We can use the formula: slope (m) = (change in y) / (change in x). Using the given points, the slope is (51-39) / (38-28) = 12 / 10 = 1.2.
Next, we can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Let's use the point (28, 39): y - 39 = 1.2(x - 28). Next, simplify the equation: y - 39 = 1.2x - 33.6. Finally, we can rewrite the equation in standard form by moving the variables to one side of the equation: 1.2x - y = 33.6 - 39, or 1.2x - y = -5.4.