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Answer:
y = 4/5x - 2
Explanation:
Begin by using the slope formula to calculate the slope:
![m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mv0f01wjhclcpvv5w0mywnj72c5z3j64nn.png)
Plug in the coordinates into the equation:
![m = (6 - 2)/(10 - 5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4q88gvdxw8i4mz13vk7gn5xz4ee2bdcb0o.png)
Simplify:
![m= (4)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/t3z1ws79zmzhknjr6tcwfb2egdq876wufy.png)
Plug in the slope, as well as the x and y values of a point into the equation
y = mx + b to solve for the b value:
2 = 4/5(5) + b
2 = 4 + b
2 - 4 = b
b = -2.
Therefore, the equation of this line is:
y = 4/5x - 2