Final answer:
To find y, we create a linear equation using the given points and solve for y when x=2.
Step-by-step explanation:
To find y when x=2, we can use the given information that y=-4 when x=10. We can create a linear equation using these two points and find the value of y when x=2.
First, we find the slope of the line using the formula: slope = (change in y) / (change in x).
slope = (-4 - 0) / (10 - 2) = -4/8 = -1/2.
Now, we have the slope and a point on the line (10, -4). We can plug these values into the point-slope form of a linear equation, y - y1 = m(x - x1).
y - (-4) = (-1/2)(x - 10)
y + 4 = (-1/2)(x - 10)
y = (-1/2)(x - 10) - 4
Now substitute x=2 into the equation to find y:
y = (-1/2)(2 - 10) - 4
y = (-1/2)(-8) - 4
y = 4 - 4
y = 0