Answer: To find the equation of the line passing through the points (-4,9) and (-9,4), we can use the point-slope form of a line:
y - y1 = m(x - x1)
Where m is the slope of the line, (x1, y1) is any point on the line, and (x, y) are the coordinates of any other point on the line.
To find the slope, m, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the two points on the line. In this case, the points are (-4,9) and (-9,4):
m = (4 - 9) / (-9 - -4)
= -5 / -5
= 1
So, the slope of the line is 1. We can use either point to find the equation of the line using the point-slope form:
Let's use the point (-4,9):
y - 9 = 1(x - -4)
y - 9 = 1x + 4
y = 1x + 4 + 9
y = 1x + 13
So, the equation of the line passing through the points (-4,9) and (-9,4) is:
y = 1x + 13
Explanation: