Question

Cool-down 13.4 Intercepted A graph of a linear equation passes through (-2, 0) and (0, -6). 1. Use the two points to sketch the graph of the equation. -5 o 5 2. Is 3x - y = -6 an equation for this graph? Explain how you know.​

Answer 1

The calculated equation of the line is y = -3x - 6 and the graph is attached

How to determine the equation of the line and the graph

From the question, we have the following parameters that can be used in our computation:

(-2, 0) and (0, -6).

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

Using the above as a guide, we have the following:

y = mx - 6

Uisng the points, we have

-2m - 6 = 0

Evaluate

m = -3

So, we have

y = -3x - 6

Hence, the equation is y = -3x - 6

and the graph is attached