The points
(-1,2) and (4,y) have a slope of -4/5. What is the y- coordinate of the point (4,y)?
slope is rise over run which is
(y2-y1)/x2-x1) so to get y we have
y-2=-4so y =-4+2 which is -2.
Does rate of change means line or slope?
To find the y-coordinate of the point (4, y), we'll use the given information that the slope between the points (-1, 2) and (4, y) is -4/5.
The formula for calculating the slope between two points (x1, y1) and (x2, y2) is:
Slope (m) = (y2 - y1) / (x2 - x1)
Let's substitute the given values in the formula:
-4/5 = (y - 2) / (4 - (-1))
-4/5 = (y - 2) / (4 + 1)
-4/5 = (y - 2) / 5
To solve for y, we can cross-multiply:
-4 × 5 = (y - 2) × (-4)
-20 = -4y + 8
Next, we isolate the y-variable:
-4y = -20 - 8
-4y = -28
Finally, divide both sides by -4 to solve for y:
y = (-28) / (-4)
y = 7
Therefore, the y-coordinate of the point (4, y) is 7.