Question 9 of 10 What is the equation of the following line? Be sure to scroll down first to see all answer options. 10 110 (0,0) A. y= 5x O B. y = -5x C. C. y=- 5* D. y= x O E. y=-x O F. y = 1/2x

Answer:
C) [tex]y=-\frac{1}{5}x[/tex]
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where m is the slope of the line, b is the y intercept (value of x when y is 0) and y, x are variables.
The equation of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
From the graph, the line passes through (0, 0) and (10, -2), hence the equation of the line is:
[tex]y-0=\frac{-2-0}{10-0}(x-0)\\\\y=-\frac{1}{5}x \\\\[/tex]