Can anyone help please?

Step-by-step explanation:

Ok this is pretty simple. Slope intercept is by far the most simple way to write an equation given that it only has 2 pieces: the slope of the line and the value at which it crosses the y axis (so when x=0). Slope is usually represented by the varriable "m" and the y intercept is usually represented by the letter "b". (Don't ask me why they chose these 2 random letters. It's... it's just whatever... Go with it.) Thus, we have the equation y=mx+b. So anyways.. Slope is just the change in y divided by the change in x. To find this, we just take 2 random points on the graph, subtract the first y from the second y and divide that by the first x subtracted from the second x. Let's use (2,-9) and (4,-10) from this fun little graph you ever so generously provided for us.

I'm bad at transitions so here's the math:

(y2-y1)/(x2-x1)

((-10)-(-9))/(4-2)

-1/2 > Thats "m".

SOOO... the slope is -1/2. Cool. BUT WE ARENT DONE

The other thing we need is the y-intercept. You may find yourself asking "what is this... this THING... he speaks of?" Its where the line hits the y axis. Thats is. It's not that hard. In this case it's -8 so b=-8.

Now for the best part... LETS PLUG ALL THOSE DOOHICKEYS IN.

y=mx+b

m=-1/2

b=-8

y=-1/2x+-8> y=-1/2x-8

TA DA

MAGIC

If you have any other questions just let me know. You can ask it here or just dm me and I'll respond free of charge. G'Day!

astronomers is your final answer! : )