Question

What is the equation of the function that is graphed as line a?

Answer 1

Answer:

Option 1

Step-by-step explanation:

The equations in the options are in the slope-intercept form (y= mx +c, where m is the slope and c is the y-intercept).

In the graph, the line cuts through the y-axis at y= -2. Thus, c= -2 and the 2nd option can be eliminated.

The slope can be found using the formula below.

$\boxed{\text{slope}=\frac{y_1-y_2}{x_1-x_2} }$

Let's choose 2 points on the line: (0, -2) and (-2, 4)

Slope

$=\frac{4-(-2)}{-2-0}$

$=\frac{4+2}{-2}$

$=\frac{6}{-2}$

= -3

The equation of the line is thus y= -3x -2.

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