Answer:
Explanation:
To find the equation of a line that passes through two given points, we can use the point-slope form of a linear equation.
Let's denote the coordinates of the first point as (x1, y1) and the coordinates of the second point as (x2, y2):
First point: (-3, -5)
Second point: (2, -3)
We can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates into the formula:
m = (-3 - (-5)) / (2 - (-3))
m = (-3 + 5) / (2 + 3)
m = 2 / 5
Now that we have the slope (m), we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Choosing either of the given points, let's use the first point (-3, -5):
y - (-5) = (2/5)(x - (-3))
y + 5 = (2/5)(x + 3)
Simplifying the equation:
y + 5 = (2/5)x + 6/5
y = (2/5)x + 6/5 - 5
y = (2/5)x + 6/5 - 25/5
y = (2/5)x - 19/5
Therefore, the equation of the line that passes through the points (-3, -5) and (2, -3) is y = (2/5)x - 19/5.