First, you need to identify the points that are drawn. At this stage, you can call them Point 1 and Point 2. Point 1 is (-4,3) and Point 2 is (5,-2).
Then, you can calculate the slope of the line that passes through these two points using the formula of the slope (m) which is (y2 - y1) / (x2 - x1). In your case, these coordinates are for x1, y1, x2, y2, respectively: -4, 3, 5, -2.
So, insert these values into the formula:
m = (-2 - 3) / (5 - (-4))
Solving this equation gives you the exact slope of m = -0.5555555555555556.
Next, use the value of the slope and one of the given points (either Point 1 or Point 2) into the slope-intercept equation of a line (y = mx + b), where x and y are the coordinates of one point (you can choose either point 1 or point 2), m is the slope you calculated, and b is the y-intercept you are trying to find.
Let's use Point 1 (-4,3) for our calculations:
3 = -0.5555555555555556 * -4 + b
Solve the equation for b. The solution results in
b = 0.7777777777777777
Therefore, the equation of the line is:
y = -0.5555555555555556x + 0.7777777777777777.