Hey there :)
Answer:
y = 4/5x - 2
Step-by-step explanation:
Begin by using the slope formula to calculate the slope:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the coordinates into the equation:
[tex]m = \frac{6 - 2}{10 - 5}[/tex]
Simplify:
[tex]m= \frac{4}{5}[/tex]
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
