Answer:
Explanation:
We can use the two-point form of the equation of a line to write the equation that passes through the points (4,-1) and (2,-2).
The two-point form is:
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Plugging in the values, we get:
(y - (-1))/(x - 4) = (-2 - (-1))/(2 - 4)
Simplifying, we get:
(y + 1)/(x - 4) = -1/2
Multiplying both sides by (x - 4), we get:
y + 1 = (-1/2)(x - 4)
Expanding and rearranging, we get:
y = (-1/2)x + 3
Therefore, the equation that passes through the points (4,-1) and (2,-2) is y = (-1/2)x + 3.