Use the slope and two points to write a function rule for the graph.
y = -2x-6
y=2x-6
y=1/2 x-6
y= 1/2 x +6
Without knowing the two points, it is impossible to determine the correct function rule.
To write a function rule using the slope and two points, we need the slope and any two points on the graph. Let's use the equation y = -2x - 6 as an example.
First, let's choose two points on the graph. We can select (-1, -4) and (2, -10) as our two points.
Next, let's calculate the slope using the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Using the two points (-1, -4) and (2, -10), the slope is:
m = (-10 - (-4)) / (2 - (-1)) = -6 / 3 = -2
Now that we have the slope (m = -2), we can use this and one of the points (let's use (-1, -4)) to write the function rule.
Using the point-slope form: y - y1 = m(x - x1)
Substituting the values, we get:
y - (-4) = -2(x - (-1))
y + 4 = -2(x + 1)
y + 4 = -2x - 2
y = -2x - 6
Therefore, the function rule for the graph y = -2x - 6 is y = -2x - 6.