What is the equation of this graphed line?
please answer in slope-intercept form

Step-by-step explanation:

Slope-intercept form is , so that's the equation you'll be plugging your values into.

To find the slope of a line, you only need two points, which this graph gives you. (-6, -3) and (6, -7)

Slope, or m, can be found by using . Now you just plug in your points into the formula, giving you .

Since you don't have an intercept, choose one of the two given points to plug into the equation .

* It doesn't matter which point you use, both will give you a correct answer.

Let's use (-6, -3).

Since you now have a and your , all you need to do is plug them in.

If you want, you can plug in points just to confirm that this is the right equation. The simplest way to find out is by making x=0, which gives you a y value of -5. You can see on the graph that the line passes through -5 on the y-axis when x=0, so the equation is valid.

Step-by-step explanation:

slope-intercept form y =mx+ b where m is slope and b is y--intercept

slope formula =

point is given as (x,y)

first point (-6,-3) second point (6,-7)

slope m =

next is to calculate y--intercept

plug in any given point  and calculated slope into formula y = mx + b

-3 = (-1/3) * (-6) +b

-3= 2 + b subtract 2 from each side

b = -5

finally equation is    

step-by-step explanation: