I can't do this somebody can help me

Question

Slope of -3 and passes through (2,4)

Answer 1

Hello Yuridia, 

I hope you are having a good day today. 

Okay, what we are going to do here is start with the linear equation which is as follows: 

y = mx + b 

Where m is the slope of the line and b is the y intercept. 

You are already given the slope, aren't you? It is -3 

Therefore: 

y = -3(x) + b  

You are also given coordinates too, correct? The first in the parentheses is x and the second is y. 

That means when you plug these values into your equation, you arrive at: 

4 = -3(2) + b  (now solve for b) 

4 = -6 + b 
6 = +6 + b (Whatever we do on one side of an equation we must do on the other, correct). Adding the positive 6 cancelled the left and added six to the right. 

10 = b  Do you understand so far? Great. 

Now you can write your formula, can't you? 

y = -3x + 10   

Yuridia, please follow up to let me  know whether my explanation is clear enough and whether you understand. 

Have a Happy Thanksgiving. 

Answer 2

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

y=-3x+b passing through point (2,4)

4=-3*2+b

4=-6+b

4+6=b

b=10

y=-3x+10