Math Is Fun Forum

Hannibal lecter

Member

Registered: 2016-02-11

Posts: 392

Find an equation for the line with slope m through the point (a, c)

Find an equation for the line with slope m through the point (a, c)
the solution is y − c = m(x − a)
but how cold that be graphically?

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Wisdom is a tree which grows in the heart and fruits on the tongue

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Find an equation for the line with slope m through the point (a, c)

hi Hannibal lecter

(x,y) is the general point on the line and (a,c) is another known point.

To calculate a gradient you pick two points, find the difference in y coordinates and divide by the difference in x coordinates.

Then multiplying both sides by (x-a) gives the equation you have stated.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Mark Dater

Member

Registered: 2021-07-23

Posts: 12

Re: Find an equation for the line with slope m through the point (a, c)

Could you please send me more graphs?