To find the equation of the line that passes through the points (0, 2) and (60, 0), we can start by identifying the coordinates of these points:
- Point 1: (0, 2)
- Point 2: (60, 0)
Next, we calculate the slope (m) of the line using the formula:
m = (y2 – y1) / (x2 – x1)
Plugging in the coordinates:
m = (0 - 2) / (60 - 0) = -2 / 60 = -1/30
Now, we have the slope of the line. We will use the point-slope form of the equation of a line:
y – y1 = m(x – x1)
We can use either of the points, but for simplicity, let’s use point (0, 2):
y - 2 = (-1/30)(x - 0)
Simplifying this gives us:
y - 2 = -1/30 * x
y = -1/30 * x + 2
Thus, the equation of the line in slope-intercept form (y = mx + b) is:
y = -1/30x + 2
This means that for every increase of 30 units in x, y decreases by 1 unit, and the line intersects the y-axis at 2.