Answer:
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
Where (x1, y1) are the coordinates of a point on the line, and m is the slope of the line.
Let's use the coordinates (-9, -4) and (-5, -1) to find the equation in point-slope form. First, we need to calculate the slope (m):
m = (y2 - y1) / (x2 - x1)
m = (-1 - (-4)) / (-5 - (-9))
m = (-1 + 4) / (-5 + 9)
m = 3 / 4
Now that we have the slope (m) and one of the points (-9, -4), we can write the equation in point-slope form:
y - (-4) = (3/4)(x - (-9))
Simplify:
y + 4 = (3/4)(x + 9)
So, the point-slope form of the line passing through (-9, -4) and (-5, -1) is:
y + 4 = (3/4)(x + 9)
Explanation: