Answer:
To find the equation of a line that passes through the point (-2, 4) and has a given slope, we can use the point-slope form of a linear equation. The point-slope form is given by: y - y₁ = m(x - x₁) where (x₁, y₁) represents the coordinates of a point on the line, and m represents the slope. In this case, the coordinates of the given point are (-2, 4), and the slope is missing. Let's call the missing slope "m". Using the point-slope form, the equation representing the line is: y - 4 = m(x - (-2)) Simplifying further: y - 4 = m(x + 2) This equation is the correct representation of a line passing through the point (-2, 4) with an unknown slope "m". The equation can be rearranged into different forms, but it is important to preserve the relationship between the slope, the coordinates of the point, and the variables x and y.
Explanation: