Question

Which statement describes the graph of y = 7?

a: A horizontal line with no "run" and infinite "rise"
b: A horizontal line with no "rise" and infinite "run"
c: A vertical line with no "run" and infinite "rise"
d: A vertical line with no "rise" and infinite "run

Answer 1

The graph of y = 7 is a horizontal line that represents no rise and an infinite run, intersecting the y-axis at the point (0,7).

Step-by-step explanation:

The graph of y = 7 represents a horizontal line. In the context of the equation y = a + bx, where b is the slope and a is the y-intercept, the equation y=7 has a slope of 0 because it does not change as x changes, which means there is no rise over run. It is a horizontal line that intersects the y-axis at 7. Therefore, the correct answer to the question is option b: A horizontal line with no "rise" and infinite "run".

This means that the value of y remains constant at 7 for all values of x. Hence, the line extends infinitely to the left and right along the line y = 7. This is in contrast to a vertical line which would have an undefined slope and extend infinitely up and down.

Answer 2

b. A horizontal line with no "rise" and infinite "run"

Step-by-step explanation:

since y = 7, y will always equal 7 no matter what the x value is, so it has no rise, or increase in y value. But it doesn't say anything about the x value, so it infinitely increases. The answer is b. A horizontal line with no "rise" and infinite "run"