M=-9 (4,8)
Is the answear 9x-27
Well,
If the Slope (M) = -9 and the point is (4,8). The Equation of the line is:
y - y1 = m(x - x1)
So it becomes:
y - 8 = -9(x-4)
y - 8 = -9x + 36
y = -9x + 36 + 8
y = -9x + 44 is the equation of the line [written in the form y = mx + c].
Ok, hope that helps!
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To verify if the answer is correct, we can substitute the given values into the equation 9x - 27 and see if it equals M.
Given:
M = -9
Point (4, 8)
Substituting these values into the equation:
9x - 27 = -9
To solve for x, we can move the constant term to the right side of the equation by adding 27 to both sides:
9x = -9 + 27
9x = 18
Next, we can solve for x by dividing both sides of the equation by 9:
x = 18/9
x = 2
Now, let's check if this value satisfies the original equation:
9(2) - 27 = 18 - 27 = -9
Since -9 is equal to M, the given point (4, 8) lies on the line with the equation 9x - 27. So, the answer 9x - 27 is correct.