Step-by-step explanation:
Here is Slope-Intercept Form for a line: y=mx+b
m is the slope
b is the y intercept
The y intercept is basically the point on the y axis where the line touches.
I will do #3 for you.
Let's first look for the y intercept. We can see that the line touches the y axis at -4, so that's it.
Let's put it into our equation, plugging in -4 for b. This is what we have so far: y=mx-4
To complete this equation, we still need to find the slope, m.
To find it, look at the point where the y intercept is, and count how many units you need to go up or down the y axis, and then right or left the x axis to get to another point on the line. The slope is equal to the change in y ÷ the change in x.
So we see that there's another point on (-3, -2), so let's try to get there from the y intercept.
We need to move two units up and 3 to the left.
In terms of y, we went up +2, and in terms of x, we went down -3
So our slope is 2/-3 or -2/3.
Now that we have our slope (m) and y intercept (b), we can plug it into out Slope-Intercept Equation, plugging in -2/3 for m:
y=-2/3x-4.
We don't need to find x or y. This is our answer for 3. Using the same method, you should be able to find the equations for the rest of the graphs. Good luck.
