Question

Ac+ 9+ 8- 7+ 6- 5+ 4+ 3+ 2+ 123456789 -9-8 -7-6-5-4-3 -2 -2+ -3+ -53 -6+ क 4of4

Answer 1

The equation of the line is;

`y\text{ = x-5}`

Here, we want to find the slope of the given shown line

Mathematically, we have this as;

`y=\text{ mx + b}`

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;

`\begin{gathered} \text{From;} \\ y\text{ = mx - 5} \\ -2\text{ = 3(x) - 5} \\ -2\text{ + 5= 3x} \\ 3x\text{ = 3} \\ x\text{ = }(3)/(3) \\ x\text{ = 1} \end{gathered}`

The equation of the line is;

`y\text{ = x - 5}`