Question 1112166
<font color="black" face="times" size="3">
The given point is (6,-5) which means x = 6 and y = -5 pair up together.

The slope is -9, so m = -9


Plug those three values (m = -9, x = 6, y = -5) into the slope intercept formula {{{y = mx+b}}} then solve for b. Recall that b of y = mx+b is the y intercept


{{{y = mx+b}}}


{{{y = -9x+b}}} Replace m with -9


{{{-5 = -9(6)+b}}} Plug in (x,y) = (6,-5). In other words, replace x with 6 and replace y with -5


{{{-5 = -54+b}}} Multiply


{{{-5+54 = -54+b+54}}} Add 54 to both sides


{{{49 = b}}} Simplify


{{{b = 49}}} Flip the equation


----------------------------------------------------

Answer: The y intercept is 49 which is represented by the ordered pair (0,49)


This is where the graph crosses the y axis.
</font>