Question

Write the equation for the following graph.

Answer 1

You can tell by looking at a graph that if it is a horizontal line, y = the y-value of the line. To provide context:

Take any two points on the line, let's say x = 1 and x = 2. We'll use this for slope. Let's also take the y-value of these points.

`m = (y_2 - y_1)/(x_2 - x_1) \\m = ((-4)-(-4))/(2-1) \\m = (-4+4)/(2-1)\\m = (0)/(1)\\m = 0`

Let's take x = 0 (the y-intercept). It's shown on the graph to equal -4.

So:

m = 0, b = -4

y = mx + b
y = 0x - 4
y = -4

Answer 2

y = -4

Explanation:

the slope is 0 since the line is horizontal , so its not A or B. and its not D because the line is on (0, -4)