Algebra-2

Find the slope of the line 3x + 4y = 12:
Rearranging the equation to slope-intercept form:

4y = −3x + 12 ⇒ y = -3/4x +3

The slope m1 = -3/4.

Determine the slope of the line perpendicular to it:
The slope of the line that is perpendicular is the negative reciprocal: m2 = 4/3.

Use the slope formula between the points (2,5) and (k,−3):

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