Question

Identify the slope and y-intercept of each of the following lines. Then graph each line.

y = 5

Answer 1

• y=5

If we simplify

• y=0x+5

Hence..

• slope=m=0
• y inetrcept=5

Graph attached

Answer 2

Below!

Explanation:

Since the "y" variable is on the L.H.S, we can rewrite y = 5 in slope intercept form to determine the slope and the y-intercept.

• ⇒ y = 5
• ⇒ y = 0x + 5

Now, let's compare the equation of the line with the formula.

• ⇒ y = 0x + 5 and y = mx + b

Thus, we will obtain the following equations:

• ⇒ y = y
• ⇒ m (Slope) = 0
• ⇒ x = x
• ⇒ b (Y-intercept) = 5

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Thus, the slope is 0 and the y-intercept is 5. Since the slope is 0, the line will be a horizontal line that intersects the y-intercept.

In this case, the y-intercept is 5. Thus, the line will be a horizontal line, intersecting the y-intercept (5). (Refer to graph).