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This question would be much easier if we simplified the equation first: 2y = -6x + 8 (divide both sides by two) y = -3x + 4 Now, the slope of this line is obviously -3. All you have to do to find the slope of a line perpendicular to the slope of another line is take its opposite reciprocal. "Opposite" means reverse the sign. "Reciprocal" means flip the fraction. In this case, the perpendicular slope of -3 (or -3/1) is 1/3. This is because 3 is the opposite of -3, and 1/3 is the reciprocal of 3.
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The slope of a line perpendicular to y equals -2x plus 3?
A perpendicular line has the negative reciprocal of the slope. The perpendicular line has a slope of 1/2 y=1/2 + 3 The 3 or y-intercept can really be any number though.
What is the slope of the line that is perpendicular to the line whose equation is 3x plus y equals 4?
3x+y = 4 y = -3x+4 Perpendicular slope: 1/3
What is the slope of a line perpendicular to the line whose equation is 3x plus 4y equals 12?
4y= -3x + 12 y = -3/4x + 3 The perpendicular slope is 4/3
Find the slope of a line perpendicular to 3x plus 5y equals 15?
3X + 5Y = 155Y = -3X + 15Y = (-3/5)X + 3The slope of this line is -3/5.The slope of a line perpendicular to it is 5/3.
What is the slope of a line that is perpendicular to 6x plus 3y equals -9?
6x+3y = -9 3y = -6x-9 y = -2x-3 Therefore the perpendicular slope is 1/2
