Answer: y = 2x - 7
Step-by-step explanation: To find the equation of the line passing through the points (4, 1) and (2, -3), we can use the point-slope form of a linear equation:
1. Find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the points (4, 1) and (2, -3):
m = (-3 - 1) / (2 - 4)
m = -4 / -2
m = 2
2. Now that we have the slope (m), we can choose one of the given points, let's say (4, 1), and substitute it into the point-slope form:
y - y1 = m(x - x1)
Substituting the values:
y - 1 = 2(x - 4)
3. Simplify the equation:
y - 1 = 2x - 8
4. Rearrange the equation to slope-intercept form (y = mx + b):
y = 2x - 7
So, the equation of the line passing through the points (4, 1) and (2, -3) is:
y = 2x - 7