To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
In this case, the points are (6, y) and (10, -1). Plugging in these coordinates, we get:
1/4 = (-1 - y) / (10 - 6)
Multiplying both sides by (10 - 6), we get:
1 = (-1 - y) / 4
Multiplying both sides by 4, we get:
4 = -1 - y
Adding y to both sides, we get:
4 + y = -1
Subtracting 4 from both sides, we get:
y = -5
Therefore, the value of y is -5. The correct response is:
-5
The pair of points (6, y) and (10, –1) lies on a line with slope one-fourth. What is the value of y?
(1 point)
Responses
–5
–2
2
5
1 answer