Question

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 1

C)
`y=-(1)/(5)x`

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:

`y-y_1=(y_2-y_1)/(x_2-x_1) (x-x_1)`

From the graph, the line passes through (0, 0) and (10, -2), hence the equation of the line is:

`y-0=(-2-0)/(10-0)(x-0)\\\\y=-(1)/(5)x \\\\`