Question

an equation in point -slope form for the line that passes through the given point (2,-1) with slope of -3. write the equation of the line that passes through the point (1,-1) and has a slope of -4.

Answer 1

To write the equation of a line in point-slope form, we use the formula: y - y1 = m(x - x1) where (x1, y1) represents the coordinates of a point on the line, and m is the slope of the line.

Step-by-step explanation:

To write the equation of a line in point-slope form, we use the formula: y - y1 = m(x - x1) where (x1, y1) represents the coordinates of a point on the line, and m is the slope of the line.

1. For the line passing through the point (2, -1) with a slope of -3, the equation can be written as: y - (-1) = -3(x - 2).
2. For the line passing through the point (1, -1) with a slope of -4, the equation can be written as: y - (-1) = -4(x - 1).