Question

Heya kitties. graph y−5=43(x−5)

coordinates plz

Answer 1

Given:

The equation is:

`y-5=(4)/(3)(x-5)`

To find:

The graph of the given equation.

Solution:

Point slope form of a line is:

`y-y_1=m(x-x_1)` ...(i)

We have,

`y-5=(4)/(3)(x-5)` ...(ii)

On comparing (i) and (ii), we get

`x_1=5,y_1=5,m=(4)/(3)`

It means, slope of the line is
`(4)/(3)` and it passes through the point (5,5).

Putting x=2 in the given equation, we get

`y-5=(4)/(3)(2-5)`

`y=(4)/(3)(-3)+5`

`y=-4+5`

`y=1`

The line passes through the point (2,1). Plot the points (2,1) and (5,5) on a coordinate plane and connect them by a free hand curve as shown below.