Question

complete the following equations.
enter an equation for line s: ( y = 0 x )
line c is a translation of line s.
enter an equation for line c: ( y = square x + (square) )

Explanation:

Step1: Analyze slope of line s

Line \( s \) has equation \( y = 0x \), so its slope \( m = 0 \). A translation (shift) of a line does not change its slope, so slope of line \( c \) is also \( 0 \).

Step2: Determine y - intercept of line c

From the graph, line \( c \) is at \( y=-3 \) (since it's a horizontal line at \( y = - 3\)). The slope - intercept form of a line is \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. Since \( m = 0 \) and \( b=-3 \), the equation of line \( c \) is \( y = 0x+(-3) \) or \( y=0x - 3 \).

Answer:

For the first box (slope): \( 0 \)
For the second box (y - intercept): \( - 3 \)
The equation of line \( c \) is \( y = 0x-3 \)