Question

What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)

Answer 1

Answer:

The line equation is given as: 3 y = 2 x - 9

Step-by-step explanation:

Here, Y intercept   is at point ( 0.-3)

So, at x = 0, y = -3

or, C  = -3

Also, the point on the equation line is (x,y)  = (-9,-9)

Now, by SLOPE INTERCEPT FORM of a line equation,we get:

y = m x + C   :  m  = slope of line  ......... (1)

So, substituting the values of C and (x,y) , we get:

-9  = m (-9)  + (-3)  

or, -9 + 3  = - 9 m

or, m =  -6/-9  = 2/3

or, m = 2/3

Now, substitute the value of m back in to the line equation (1)

$y = m x + C \implies y = (\frac{2}{3}) x - 3\\\implies 3y = 2x - 9$

Hence, the line equation is given as: 3 y = 2 x - 9.