The equation in the point-slope form for the line through point (2, 7) with a slope of -4 is y - 7 = -4(x - 2).
The equation in point-slope form of the line that passes through the point (2, 7) with a slope of -4 is y - 7 = -4(x - 2). Point-slope form is typically written as y - y₁ = m(x - x₁), where (x₁, y₁) is the point the line passes through and m is the slope. Given the point (2, 7) and the slope -4, we substitute these values into the equation to get the final answer.
In conclusion, to write the equation of a line using point-slope form, you take the known point and the slope and substitute them in to find the relationship between x and y that defines the line.