The equation of the line is;
[tex]y\text{ = x-5}[/tex]
Here, we want to find the slope of the given shown line
Mathematically, we have this as;
[tex]y=\text{ mx + b}[/tex]
where m is the slope and b is the y-intercept
The y-intercept is where the line crosses the y-axis
We have this already from the graph at the point y = -5
To get the slope, we simply substitute the coordinates of one of the points
The point which we shall use is the point (3,-2)
We substitute 3 for x and -2 for y
We have this as;
[tex]\begin{gathered} \text{From;} \\ y\text{ = mx - 5} \\ -2\text{ = 3(x) - 5} \\ -2\text{ + 5= 3x} \\ 3x\text{ = 3} \\ x\text{ = }\frac{3}{3} \\ x\text{ = 1} \end{gathered}[/tex]
The equation of the line is;
[tex]y\text{ = x - 5}[/tex]
