Question

Make up an equation of the form y = kx +b, the graph of which passes through the following points:

P (4, 1) and Q (3, –5)

Answer 1

The given points are

`P(4,1) , Q(3,-5)`

First we find the slope using slope formula which is

`m= (y_(2) - y_(1))/(x_(2)- x_(1))`

Substituting the values of x1,y1 and x2, y2, we will get

`m = (-5-1)/(3-4) = 6`

Now we use slope point form, which is

`y-y_(1) = m (x-x_(1))`

Using the values of m,x1 and y1, we will get

`image`