Points (-2, 1) and (3, y) have a slope of -3 find the y coordinate of the point
To find the y-coordinate of the point (3, y) when the slope between (-2, 1) and (3, y) is -3, we can use the slope formula.
The formula for the slope between two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
We are given that the slope (m) is -3, and the coordinates of the two points (-2, 1) and (3, y). Plugging in these values into the slope formula:
-3 = (y - 1) / (3 - (-2))
Simplifying the equation:
-3 = (y - 1) / 5
To solve for y, we can cross multiply:
-3 * 5 = y - 1
-15 = y - 1
y = -15 + 1
y = -14
Therefore, the y-coordinate of the point is -14.