Question

2. Write the equation of the graph shown below. 3 -2 1- -2 0 2 כי 1

Answer 1

y = -3|x| + 3

Step-by-step explanation:

we pick any two points in the graph. But because the two lines are facing down, the slope will be negative.

using points (0, 3) and (1, 0)

we find the slope using those points:

`\begin{gathered} m\text{ = }(y_2-y_1)/(x_2-x_1) \\ m\text{ = }(0-3)/(1-0) \\ m\text{ = -3/1} \\ m\text{ = -3} \end{gathered}`

The equation of line: y = mx + c

the y intercept = c

This is the point the x coordinate = 0

on the graph, x = 0 whn y = 3

The equation: y = -3x + 3

Looking at the graph, two lines in the form of "v" is facing down. This indicates an absolute value for x.

The equation of the graph becomes:

y = -3|x| + 3