the line passing through point (-2,3) with slope -2
To find the equation of the line passing through point (-2, 3) with a slope of -2, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
Plugging in the values, we have:
y - 3 = -2(x - (-2))
Simplifying this equation, we get:
y - 3 = -2(x + 2)
Expanding the brackets, we have:
y - 3 = -2x - 4
Moving all terms to one side, we get:
y + 2x = -1
This is the equation of the line passing through the point (-2, 3) with a slope of -2.