the line passing through point (-4,3) with slope -1/2
The equation of a line passing through point (-4,3) with slope -1/2 can be found using the point-slope formula.
The point-slope formula is given by:
y - y1 = m(x - x1)
where:
- (x1, y1) is the point (-4,3)
- m is the slope (-1/2)
Plugging in the values, we get:
y - 3 = (-1/2)(x - (-4))
Simplifying further:
y - 3 = (-1/2)(x + 4)
y - 3 = (-1/2)x - 2
y = (-1/2)x + 1
Therefore, the equation of the line passing through point (-4,3) with slope -1/2 is y = (-1/2)x + 1.