Answer:
To write the equation for the line passing through the given points, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Let's select two of the given points and calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-2, -29) and (-1, -22):
m = (-22 - (-29)) / (-1 - (-2))
m = (-22 + 29) / (-1 + 2)
m = 7 / 1
m = 7
So, the slope of the line passing through these two points is 7.
Now, let's use one of the points, (-2, -29), and the slope (m = 7) to write the equation of the line:
y - y1 = m(x - x1)
y - (-29) = 7(x - (-2))
y + 29 = 7(x + 2)
Expanding the equation, we get:
y + 29 = 7x + 14
To simplify the equation, we can subtract 29 from both sides:
y = 7x + 14 - 29
y = 7x - 15
Therefore, the equation for the line passing through the given points (-2, -29) and (-1, -22) is y = 7x - 15.