To find the equation of the line passing through the points (40, 2 + x) and (-2, 5), we first need to find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Substitute the values of the points into the formula:
m = (5 - (2 + x)) / (-2 - 40)m = (5 - 2 - x) / (-42)m = (3 - x) / (-42)m = (3 - x) / -42
Now, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Choose one of the points to substitute into the equation. Let's use (40, 2 + x):
y - (2 + x) = (3 - x) / -42) (x - 40)
Now, simplify the equation:
y - 2 - x = (3 - x) / -42 (x - 40)y = (3 - x) / -42 (x - 40) + x + 2
Therefore, the equation of the line passing through the points (40, 2 + x) and (-2, 5) is:
y = (3 - x) / -42 (x - 40) + x + 2
To find the equation of the line passing through the points (40, 2 + x) and (-2, 5), we first need to find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Substitute the values of the points into the formula:
m = (5 - (2 + x)) / (-2 - 40)
m = (5 - 2 - x) / (-42)
m = (3 - x) / (-42)
m = (3 - x) / -42
Now, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Choose one of the points to substitute into the equation. Let's use (40, 2 + x):
y - (2 + x) = (3 - x) / -42) (x - 40)
Now, simplify the equation:
y - 2 - x = (3 - x) / -42 (x - 40)
y = (3 - x) / -42 (x - 40) + x + 2
Therefore, the equation of the line passing through the points (40, 2 + x) and (-2, 5) is:
y = (3 - x) / -42 (x - 40) + x + 2