Question

Use the coordinates of the labeled points to find a point-slope equation of the line. (3,-4)

Answer 1

Answer: $y+4=-3(x-3)$

Step-by-step explanation:

The point-slope equation of a straight line is:

$y-y_{1}=m(x-x_{1} )$

where m is the slope and $(x_{1}, y_{1} )$ are the coordinates of a point in the line.

So, to find the equation, the firs step is to find the slope. We can see in the graphic that the line intercepts the y axis at the point (0, 5), so we're going to use that and the other given point to find the slope:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} =\frac{-4-5}{3-0} =\frac{-9}{3}=-3$

Then, you simply substitute the slope and the coordinates of the point and you get the point-slope equation:

$y-(-4)=-3(x-3)\\y+4=-3(x-3)$

Answer 2

Answer:

slope=-3  

y=-3x+5

Step-by-step explanation:

use two given points (3,-4)(0,5)

5- -4= 9

0-3=-3

9/-3=-3