Porshiaidn
Answered

IDNLearn.com makes it easy to find accurate answers to your questions. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

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.

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 class=

Sagot :

Superkoopasirfidn
The equations above are all in the format [tex]y = mx + c[/tex], where [tex]m[/tex] = the gradient, or slope.

So, in the first question, [tex]y = 4x + 2[/tex], the gradient would be 4, because 4 is [tex]m[/tex] in this equation (the number before the [tex]x[/tex]).

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 [tex]m[/tex] = the gradient of the line and [tex]m'[/tex] = the gradient of the perpendicular line then:
[tex]m' = - \frac{1}{m} [/tex]

So in the first question, the gradient of the perpendicular line is [tex]- \frac{1}{4} [/tex].
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.