Answer:
Equation: y = x - 1
- a slope of 1, and a y-intercept of -1
Explanation:
Given: y = x - 6
Slope-Intercept Form: y = mx + b -
where:
- m is the slope
- b is the y-intercept (when x = 0)
Note: parallel lines have the same slope
1. Determine the slope and y-intercept of the given equation:
⇒ y = x - 6 has a slope of 1, and a y-intercept of -6
2. Find the equation of the line parallel line that passes through the point (-5,-6):
⇒ y = x + b [substitute -5 for x and -6 for y]
⇒ -6 = -5 + b [add 5 to both sides]
⇒ -6 + 5 = -5 + 5 + b
⇒ -1 = b
Equation: y = x - 1
3. Check your answer using point (-5, -6):
⇒ y = x - 1
⇒ -6 = -5 - 1
⇒ -6 = -6 ✔
This statement is correct
Therefore, the equation of the line is y = x - 1