Answer:
To write the equation of a line using the point-slope form, we need two pieces of information: the coordinates of a point on the line and the slope of the line. In this case, we are given the point (-13, 15) that lies on the line. However, we are not provided with the slope.
To find the slope, we can use another point on the line or any additional information given in the question. Since no other points or information are provided, we cannot determine the exact slope of the line. Therefore, we will use a variable, m, to represent the slope.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line and m is the slope.
Substituting (-13, 15) for (x1, y1), we get:
y - 15 = m(x - (-13))
y - 15 = m(x + 13)
This is the equation of a line passing through the point (-13, 15) using the point-slope form. The value of m represents the slope of the line and can take any real number.
Explanation: