Answer:
The equation of the line is y = -x + 1
Step-by-step explanation:
* Lets explain how to solve the problem
- The slope-intercept form of the equation is y = mx + c, where m is
the slope of the line and c is the y-intercept
- To make this equation you need slope (m) and a point on the line to
find the value of c
- The parallel lines have same slopes
* Lets solve the problem
- The line is parallel to the line y = -x - 5
∵ y = mx + c
∵ The slope of the line y = -x - 5 is the coefficient of x
∴ m = -1
∵ Parallel lines have same slopes
∴ The slope of the line is -1
∴ the equation of the line is y = -x + c
- To find c substitute x and y in the equation by the coordinates of
any point lies on the line
∵ The line passes through point (3 , -2)
∵ y = -x + c
∴ -2 = -(3) + c
∴ -2 = -3 + c ⇒ add 3 for both sides
∴ c = 1
∴ The equation of the line is y = -x + 1
