So, i dot get this, Write an equation in point slope form for the line through the given slope.
(-4,-2); m= -1/2
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y+2=-1/2(x+4)
Of course! To write an equation in point-slope form for a line, we need to use the slope-intercept form equation, which is:
y - y1 = m(x - x1)
Where (x1, y1) represents a point on the line, and 'm' represents the slope.
In this case, we are given the slope (m) as -1/2 and the point (-4, -2). So we can substitute these values into the equation:
y - (-2) = (-1/2)(x - (-4))
Simplifying:
y + 2 = (-1/2)(x + 4)
Therefore, the equation in point-slope form for the line with a slope of -1/2 passing through the point (-4, -2) is:
y + 2 = (-1/2)(x + 4)