If I recall correctly, the slope-intercept form is y=mx+c or y=Mx+b

c is always the y-intercept of the graph, being the point where the line crosses the y axis. In this case:

c= -1

To get the slope, we can use the following equation:

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

All we need to do is substitute in two sets of coordinates. In this case we will use the coordinates highlighted with the bold points:

(1;2)

(-1;-4)

Now we will place the coordinates into the equation, making sure to correspond its x value to its y value:

m=(-4-2)/(-1-1)

m=3

Therefore the equation is y=3x-1

**Step-by-step explanation:**

m=2

.................

**Answer:**

x=-2

**Step-by-step explanation:**

Given points are (-2,2) and (-2,-3).

Now we need to find equation of the line passing through the given points.

So let's begin by finding slope

which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.

Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.

x-coordinate is -2 in given points.

**Hence final equation is x=-2.**

To find the value of "x", you need to isolate/get the variable "x" by itself in the equation:

4x - 1 = 6 Add 1 on both sides

4x - 1 + 1 = 6 + 1

4x = 7 Divide 4 on both sides to get "x" by itself

Now that you know the value of x, you can find 24x:

24x Substitute/plug in 7/4 into "x" since x = 7/4

**42**

**Answer:**

20 scoops

**Step-by-step explanation:**

To find how many scoops it will take,** divide 10 by 1/2**

10/0.5

= 20

So, it will take **20 scoops to empty the bucket**