Question

Write an equation in slope-intercept form for each graph shown.


Please help!!!!!!!

Answer 1

I can help! As you may know y = mx+b is our slope-intercept equation, so let's plug some numbers into where they need to be.

The easiest part is finding B (the y-intercept) which is -3. Now, our equation is y = mx+(-3) or, as we will properly write it, y = mx-3

Let's find the slope (m) now! Let's take the first coordinate given (0, -3) and count the rise over the run that takes us to the next coordinate (2, 1)

Rise (going up) is four, and the run (across) is two. Making our slope 4/2, which is an improper fraction, so let's simplify it to 2. Now, we have our "m,"

That's all you need for this equation, since the y and x are left as they are.

y = 2x-3 is your answer

Answer 2

y = 2x-3

Explanation:

We have 2 points so we can find the slope

m = (y2-y1)/(x2-x1)

= (1--3)/(2-0)

= (1+3)/(2-0)

=4/2

= 2

The y intercept (where x=0) is -3

We can use the slope intercept form of the equation

y= mx+b where m is the slope and b is the y intercept

y = 2x-3