Question

complete the following equations. enter an equation for line s: y = 1x enter an equation for line r: y = x+( ) line r is a translation of line s.

Explanation:

Step1: Find the slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For parallel lines (translations), the slopes are equal.

Step2: Determine the slope of line s

From the given equation of line s: $y=-1x$, the slope $m=-1$.

Step3: Find the y - intercept of line r

Let's assume two points on line r. By observing the graph, if we take a point on line r and use the slope - intercept form. Suppose the y - intercept of line r is $b$. Let's use the fact that for a translation of lines, we can find the y - intercept by looking at the vertical shift. By observing the graph, when $x = 0$, the line r intersects the y - axis at $y=-2$.

Answer:

$y=-1x+( - 2)$