Question

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 1

The equations above are all in the format
`y = mx + c`, where
`m` = the gradient, or slope.

So, in the first question,
`y = 4x + 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' = - (1)/(m)`

So in the first question, the gradient of the perpendicular line is
`- (1)/(4)`.