Question

Heya kitties. graph y−5=43(x−5) coordinates plz

Answer 1

Given:

The equation is:

$y-5=\dfrac{4}{3}(x-5)$

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,

$y-5=\dfrac{4}{3}(x-5)$           ...(ii)

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

$x_1=5,y_1=5,m=\dfrac{4}{3}$

It means, slope of the line is $\dfrac{4}{3}$ and it passes through the point (5,5).

Putting x=2 in the given equation, we get

$y-5=\dfrac{4}{3}(2-5)$

$y=\dfrac{4}{3}(-3)+5$

$y=-4+5$

$y=1$

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.