A line passes through (0,50) and (100,0). What is the equation of this line?  y=50 + 0.5x   y=100 - 0.5x Correct Answer  y=50 - 0.5x You Answered  y=100-2x

The equation of a line can be found using the formula y = mx + c, where m is the slope of the line and c is the y-intercept.

Step 1: Find the slope (m) The slope of a line passing through the points (x1, y1) and (x2, y2) is given by the formula (y2 - y1) / (x2 - x1). Substituting the given points (0,50) and (100,0) into this formula gives us:

m = (0 - 50) / (100 - 0) = -50 / 100 = -0.5

Step 2: Find the y-intercept (c) The y-intercept is the y-coordinate of the point where the line crosses the y-axis. Since the line passes through the point (0,50), the y-intercept is 50.

Step 3: Substitute m and c into the equation y = mx + c Substituting m = -0.5 and c = 50 into the equation gives us:

y = -0.5x + 50

So, the equation of the line is y = -0.5x + 50.