The table represents some points on the graph of a linear function. Write a function that represents this relationship
table-
-4 / 10
-2 / 7
6 / -5
To find the equation of the line passing through these points, we first need to find the slope.
Slope (m) = (y2 - y1) / (x2 - x1)
= (7 - 10) / (-2 - (-4))
= -3 / 2
Using the point-slope formula, where (x1, y1) = (-4, 10)
y - y1 = m(x - x1)
y - 10 = -3/2(x + 4)
y - 10 = -3/2x - 6
y = -3/2x + 4
Therefore, the function that represents the relationship between x and y is y = -3/2x + 4.