Aline contains the points (-3, 4) and (7, -1). calculate the equation of the line in the form
y = mx + b
explain each step. ps how can i draw the graph?

Step-by-step explanation:

First we need to find the slope of the line.  We can plug in both coordinates in to the slope formula.

The slope formula is:

So I will use (-3,4) as the first coordinate, and (7,-1) as the second coordinate.

x₁ = -3

y₁ = 4

x₂ = 7

y₂= -1

I will plug in these values to find the slope.

Now that we know the slope is -1/2, we can plug in the slope and a point into the point slope equation.  Then we can solve for y.

I have attached an image of what this graph should look like.  Since the slope is -1/2, the y value should decrease by 1/2 every time you move over by 1 on the x axis.  And since the equation says "+5/2" we know we have to shift the graph up by 5/2.  The y-intercept will be 5/2.

I added another image that shows how to graph an equation using the equation y=mx+b