the line passing through point (-1,4) with slope -3
To find the line passing through the point (-1,4) with a slope of -3, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) are the coordinates of a point on the line.
Plugging in the values, we have y - 4 = -3(x - (-1)).
Simplifying, we get y - 4 = -3(x + 1).
Expanding the brackets, we have y - 4 = -3x - 3.
Adding 4 to both sides, we get y = -3x - 3 + 4.
Simplifying further, we have y = -3x + 1.
Therefore, the line passing through the point (-1,4) with a slope of -3 is given by the equation y = -3x + 1.