a line passes through (8, -4) and has slope 2/3. what is an equation in point-slope form of the line?
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Given that the line passes through the point (8, -4) and has a slope of 2/3, we can substitute these values into the point-slope form equation:
y - (-4) = (2/3)(x - 8)
Simplifying, we have:
y + 4 = (2/3)(x - 8)
And this is the equation in point-slope form of the line.