Question

A horizontal line goes through the point (–7,10). Which statements are true about this line? Check all that apply.

The slope of the line is zero
Another point on the line is (3,10)


The  y-intercept of the line is –7
The equation of the line is  y = 10

Answer 1

Answer: The slope of the line is zero.

Another point on the line is (3,10).

The equation of the line is y = 10.

Explanation:

Answer 2

The slope of the line is the change in y values over the change in x values, since for horizontal line, the y values do not change then, the slope is zero.

If the line is horizontal, this means that whatever the value of the x-coordinate (abscissa) is, the y-coordinate (ordinate) will always be 10.

The intercept of the line is 10. So, third statement is not true.

Since the equation of the line is zero and its y-intercept is zero, using the equation of the line which is,
y = mx + b
where m is slope and b is y-intercept. The equation of the line is,
y = 0x + 10 ; y = 10

The true statements for this item are 1st, 2nd, and 4th.