The equation written in slope-intercept form is y = (1/3)x -9
<h3>What is a linear Equation ?</h3>
A linear equation is that which can be represented in the form of y =mx +c , m is the slope and c is the intercept.
The given equation is 
y+6 = 1/3(x-9)
To determine the slope and the intercept this equation needs to be solved 
y+6 = (1/3)x - 3
y = (1/3)x -9
Therefore this is the slope intercept format , here 
the slope = 1/3
intercept = -9
To know more about Linear Equation
brainly.com/question/11897796
#SPJ1
 
        
             
        
        
        
 The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).
<h3>
How to find the points of intersection?</h3>
Here we want to solve the system of equations:
y = 2x + 5
x² + y² = 36
To solve this, we need to replace the first equation into the second one:
x² + (2x + 5)² = 36
Now we can solve this for x:
x² + 4x² + 10x + 25 = 36
5x² + 10x - 11 = 0
This is a quadratic equation, to solve it we use the general formula:

So we have two solutions for x:
x = (-10 - 17.9)/10 = -2.79
x = (-10 + 17.9)/10 = 0.79
To get the y-values of the solutions, we evaluate the linear equation in these values of x:
y = 2*(-2.79) + 5 = -0.58
y = 2*( 0.79) + 5 = 6.58
Then the two intersection points are (-2.79,  -0.58) and (0.79,  6.58).
If you want to learn more about intersection points:
brainly.com/question/17206319
#SPJ1
 
        
             
        
        
        
Slope intercept form: y = mx + b
mx = slope
b = y-intercept
We know the y intercept is 0, so nothing will be written there.
To find the slope of this line, we can use the slope formula.

We'll use the points (1, 0) and (3, 1) to find the slope.
Now we can just plug these values into the equation to find the slope.
1 - 0 / 3 - 1
1 / 2
The slope of the line is 1/2, or 0.5.
The slope-intercept form of this line can be written as:
y = 0.5x
 
        
             
        
        
        
Answer:12
Step-by-step explanation:
 
        
             
        
        
        
Answer:
x = -12.5
Step-by-step explanation:
Solve :  -2x - 10 =15 
-2x - 10 = 15
-2x = 15 + 10
-2x = 25
x = -25/2
x = -12.5