Find the slope of a line that is parallel and the slope of a line that is perpendicular to each line whose equation is given. Please only do number one and show me all the steps you did.
Answer (2)
The equations above are all in the format y = m x + c , where m = the gradient, or slope.
So, in the first question, y = 4 x + 2 , the gradient would be 4, because 4 is m in this equation (the number before the x ).
The gradient of a line perpendicular to this line is equal to the negative reciprocal of the gradient of the line. A better way to explain it is if m = the gradient of the line and m ′ = the gradient of the perpendicular line then: m ′ = − m 1
So in the first question, the gradient of the perpendicular line is − 4 1 .
The slope of the line given by the equation y = 2 x + 3 is 2 . A line parallel to this one will also have a slope of 2 , while a line perpendicular to it will have a slope of − 2 1 .
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