Find the slope of a line that is perpendicular to the line 4x + 3y - 15 = 0. - 3/4 4/3 3/4

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Mathematics

Ashly

14 August, 19:41

Find the slope of a line that is perpendicular to the line 4x + 3y - 15 = 0. - 3/4 4/3 3/4

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Evelin · Answer 1

If the equation of the line is given in a form Ax + By + C = 0 then, the slope (m) is equal to - A / B. From the given equation of the line, A = 4 and B = 3. The slope of this line is - 4/3. The line perpendicular to the given has a slope which is the negative reciprocal of the slope of the given. Hence, the slope of the perpendicular line is 3/4.