Line L1 passes through point A (-2,3) and B (-1,5) determining. The equation of L1
To find the equation of line L1 passing through points A (-2,3) and B (-1,5), we first need to find the slope of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Substitute the given points A (-2,3) and B (-1,5) into the formula:
m = (5 - 3) / (-1 - (-2))
m = 2 / 1
m = 2
So, the slope of line L1 is 2.
Next, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Substitute the slope m = 2 and point A (-2,3) into the equation:
y - 3 = 2(x - (-2))
y - 3 = 2(x + 2)
y - 3 = 2x + 4
y = 2x + 7
Therefore, the equation of line L1 passing through points A (-2,3) and B (-1,5) is y = 2x + 7.