Answer:
M = -5/16 (-8, 16) in standard form is -5x + 16y = 216
Explanation:
To express the equation of the line in standard form, we need to rewrite it as Ax + By = C, where A, B, and C are integers, and A is positive.
Given the equation M = -5/16 (-8, 16), we can start by converting it to slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
M = -5/16 (-8, 16)
y = (-5/16)x + b
To find the y-intercept, we substitute the given point (-8, 16) into the equation:
16 = (-5/16)(-8) + b
Simplifying the equation:
16 = 5/2 + b
To isolate b, we subtract 5/2 from both sides:
16 - 5/2 = b
Now, let's simplify the left side of the equation: 32/2 - 5/2 =
b 27/2 = b
So the y-intercept (b) is 27/2.
Now we have the slope (-5/16) and the y-intercept (27/2). We can substitute these values into the standard form equation, Ax + By = C:
-5/16 x + y = 27/2
To eliminate the fraction, we can multiply both sides of the equation by 16: 16 * (-5/16 x) + 16 * y = 16 * (27/2)
Simplifying:
-5x + 16y = 216
So, the equation M = -5/16 (-8, 16) in standard form is -5x + 16y = 216.
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