1. what is the equation of a line that contains the points (0, 8) and (8, 8)?
a y = 0
b x = 0
c x = 8
d y = 8
2. write the equation of a line that goes through point (0, −8) and has a slope of 0.
a x = −8
b x = 0
c y = −8
d y = 0

1. D y = 8

2. C y = −8

Step-by-step explanation:

1.

Both points have y-coordinate 8, so the line is horizontal.

A horizontal line has equation

y = k

where k is the y-coordinate of all of its points.

The y-coordinate of all points on this line is 8.

y = 8

2.

A line with 0 slope is a horizontal line. All points on a horizontal line have the same y-coordinate.

A horizontal line has equation

y = k

where k is the y-coordinate of all of its points.

The y-coordinate of the given point is -8, so all points must have -8 as the y-coordinate.

y = -8

First write the equations in the slope-intercept form:


Line 1 passes through the points (-6,-6) and (-4,-3).


Line 2 passes through the points (0,3) and (2,6).


These are two identical lines so the system of equations has infinitely many solutions. The answer is D.