Find the equation of the line that passes through the following two points:(5, 28) and (7, 40)

Step 1: Find the slope (m) of the line. The formula to find the slope between two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1).

Using the given points (5, 28) and (7, 40), the slope m = (40 - 28) / (7 - 5) = 12 / 2 = 6.

Step 2: Use the point-slope form of a line, which is y - y1 = m(x - x1). You can use either of the given points for (x1, y1). Let's use the first point (5, 28).

Substitute m = 6, x1 = 5, and y1 = 28 into the equation:

y - 28 = 6(x - 5)

Step 3: Simplify the equation to the slope-intercept form (y = mx + b).

y - 28 = 6x - 30

Add 28 to both sides to solve for y:

y = 6x - 2

So, the equation of the line that passes through the points (5, 28) and (7, 40) is y = 6x - 2.