Question

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

x = -7
Do I mark the graph attached?

Answer 1

• x=-7

So

line will be parallel to y axis

no y intercept as parallel to y axis means it will never intercept y axis

• Slope will undefined

Graph attached

Answer 2

Below!

Explanation:

Since there is a variable (x) on the L.H.S and a constant (-7) on the R.H.S, the line will be a vertical line intersecting the x-coordinate (-7).

~Graph attached

Determining the y-intercept of the line:

Since the line is a vertical line, it's y-intersept is undefined as it will never intersect the y-axis.

Determining the slope of the line:

To determine the slope of the line, pick any two points that is on the line.

• ⇒ (-7, 0) and (-7, 1)

Using the slope formula (y₂ - y₁/x₂ - x₁):

• ⇒ 1 - 0/-7 - (-7)
• ⇒ 1/-7 + 7
• ⇒ 1/0

∴ Any number divided by 0 is undefined

• ⇒ underfined

Thus, the slope and the y-intercept are undefined.