Slope = 3
The points: (x, y) = (-0.5, 2)
Step-by-step explanation:
Using the slope formula:
![m\text{ = }(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/sukh4lu5s7fgiz5v423o6usjd9gul4kfrj.png)
To get the slope we would pick any two points on the graph:
using poinjts: (1, 5) and (2, 8)
![\begin{gathered} x_1=1,y_1=5,x_2=2,y_2\text{ =8} \\ \text{slope = }(8-5)/(2-1) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/sh4jkbt5koqxsqkf5s66u18s4evtlt51yv.png)
![\begin{gathered} \text{Slope =}(3)/(1) \\ \text{slope = 3} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/c38q0z6zii35y6wvhydpgzeed151v8vt5f.png)
The intercepts: x and y intercept
The y intercept is the value of y when the line crosses the y axis.
The value of y is 2.
Hence, the y intercept is 2
The x intercept is the value of x when y is equal to zero
The point is not very clear from the graph as it is not an whole number.
x is almost -1 when y = 0
Since the value is close to -0.5, we would take x = -0.5
The points: (x, y) = (-0.5, 2)