Question

What is the equation of the blue line?

Answer 1

The equation of the blue line is -x - 1 = y.

Answer 2

Explanation:

To solve this problem, let's use slope-intercept format as out template. The equation for slope-intercept format is as follows:

mx + b = y

• m = slope
• b = y intercept

You can find the y intercept by looking at the graph and finding where the blue line crosses the y axis. This happens at the point (0, -1) or y = -1.

-1 is your y intercept [b]

Now, to find your slope, use the slope equation: y₂-y₁/ x₂-x₁

Pick two points on the line: (-2,1) and (2,-3)

Now, plug into the slope equation and solve:

`(-3-1)/(2-(-2))` =
`(-4)/(4)` = -1

-1 is your slope [m]

Now that you have both slope and y intercept, plug into the slope-intercept equation:

-x -1 =y is the equation of the blue line