Answer:
y = -3x - 6
Step-by-step explanation:
first, find the slope
(-4, 6)
(1, -9)
remember the equation for the slope

insert given points

((-9) - (6)) / ((1) - (-4))
simplify
( -9 - 6) / (1 + 4)
= -15/ 5
= -3
now insert it into the equation of the line
remember, the equation of the line is
y = mx + b
where "m" is the slope
and "b" is the y-intercept
to find "b", you just have to plug in a point that is found on the line
we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem
y = mx + b
substitute in the slope of this line
y = -3x + b
now substitute in the given points
6 = -3 * -4 + b
 and solve it like any algebra problem, by inverse operations and simplifying
6 = 12 + b
-12      -12
-6 = b
so the equation of the line is 
y = -3x -6
 
        
             
        
        
        
function is: f(x)=(x+10)^2
 
        
             
        
        
        
Answer:
y=3x+18
Step-by-step explanation:
Since slope-intercept form is y=mx+b, we first need to find the slope.
m=y2-y1/x2-x1
m=0-(-9)/-6-(-9)
m=9/3=3
Next we need to find b, or the y-intercept
to do that we plug in numbers to what we already have.
y=3x+b
0=-18+b
b=18
Now we put it all together.
<h3>y=3x+18</h3>