Answer:
y = 4x + 45
Step-by-step explanation:
The slope for the equation y = -1/4x + 9 would be the number before the x. In this case, that number is -1/4. A perpendicular slope would be the opposite inverse to this number which would be 4. We know have the slope. We need the y- intercept.
To find the y-intercept we would need and x and y value that is on the line and the slope. We are given this information. From above, we see that the slope is 4. We can use the x and y from the ordered pair given (-9,9) The x value is -9 and the y value is 9.
y = mx + b Substitute in what we know.
9 = 4(-9) + b We are soling for b
9 = -36 + b Add 36 to both sides of the equation
45 = b We now know the y-intercept
The equation will be:
y = mx + b
y = 4x + 45
