Question

Which equation describes the line graphed above?

A. y = -3x -1


B. y = -3x - 3


C. y = -3x -3



D. y = -1/3x - 1

Answer 1

The equation y = - 3x - 3 describes the graphed line

Correct question : Which equation describes the line graphed above?

A. y = - 3x - 1 B. y = - 3x + 3 C. y = - 3x - 3 D. y = - 1/3x - 1

Given :

The graphed line

To find :

The equation describes the line graphed above?

A. y = - 3x - 1

B. y = - 3x + 3

C. y = - 3x - 3

D. y = - 1/3x - 1

Formula Used :

For the given two points A(x₁ , y₁) & B(x₂ , y₂)

The equation of the line AB is

$\displaystyle \sf \frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}$

Solution :

Solution :Step 1 of 2 :

Write down points through the line passes through

The line passes through the points ( - 1,0) , (0, - 3)

Step 2 of 2 :

Find the equation of the line

Since the line passes through the points ( - 1,0) , (0, - 3)

So the equation of the line is

$\displaystyle \sf \frac{y - 0}{x - ( - 1)} = \frac{ - 3 - 0}{0 - (- 1)}$

$\displaystyle \sf{ \implies } \frac{y}{x + 1} = \frac{-3}{1}$

$\displaystyle \sf{ \implies }y = - 3x - 3$

Therefore the equation y = - 3x - 3 describes the graphed line

Hence the correct option is C. y = - 3x - 3

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