Question

Use the graph to write a linear function that relates y to x

Answer 1

Answer:

y = 3

Step-by-step explanation:

This is a constant function

y = 3

Answer 2

Answer:

y = 3

Step-by-step explanation:

We need to find the slope. We do so by choosing any two points and dividing the change in the y-coordinates (their difference) by the change in the x-coordinates (their difference). Let's just choose (1, 3) and (0, 3). The slope is: $\frac{3-3}{1-0} =\frac{0}{1} =0$ . So, the slope is 0.

We want to write a line in slope-intercept form, which is: y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis). Here, the slope m = 0. Looking at the graph, we see that the y-intercept is (0, 3), so b = 3. Then, our line is: y = 0x + 3  ⇒  y = 3.

Another note is that this is a horizontal line. One thing to remember is that all horizontal lines have slopes of 0, so their function is simply y = k, where k is a constant through which the line cuts through.

Hope this helps!