Question

Answer both questions.

1.Find the equation of the line that passes through the points (-1 , -1) and (-1 , 2).

2.Solve the equation 

|- 2 x + 2| - 3 = -3​

Answer 1

1.To find the equation of the line through the points (-1 , -1) and (-1 , 2), we first use the slope m.

To find the equation of the line through the points (-1 , -1) and (-1 , 2), we first use the slope m.m = (y2 - y1) / (x2 - x1) = (2 - (-1)) / (-1 - (-1)) = 3 / 0

To find the equation of the line through the points (-1 , -1) and (-1 , 2), we first use the slope m.m = (y2 - y1) / (x2 - x1) = (2 - (-1)) / (-1 - (-1)) = 3 / 0 The slope is undefined which means the line is perpendicular to the x axis and its equation has the form x = constant. Since both points have equal x coordinates -1, the equation is given by:

To find the equation of the line through the points (-1 , -1) and (-1 , 2), we first use the slope m.m = (y2 - y1) / (x2 - x1) = (2 - (-1)) / (-1 - (-1)) = 3 / 0 The slope is undefined which means the line is perpendicular to the x axis and its equation has the form x = constant. Since both points have equal x coordinates -1, the equation is given by:x = -1

2.The equation to solve is given by.

The equation to solve is given by.|-2 x + 2| -3 = -3

The equation to solve is given by.|-2 x + 2| -3 = -3 Add 3 to both sides of the equation and simplify.

The equation to solve is given by.|-2 x + 2| -3 = -3 Add 3 to both sides of the equation and simplify.|-2 x + 2| = 0

The equation to solve is given by.|-2 x + 2| -3 = -3 Add 3 to both sides of the equation and simplify.|-2 x + 2| = 0 |-2 x + 2| is equal to 0 if -2 x + 2 = 0. Solve for x to obtain

The equation to solve is given by.|-2 x + 2| -3 = -3 Add 3 to both sides of the equation and simplify.|-2 x + 2| = 0 |-2 x + 2| is equal to 0 if -2 x + 2 = 0. Solve for x to obtainx = 1

Answer 2

Answer:

Step-by-step explanation:

2. (-2x+2)-3=-3

-2x +2=-3+3

-2x=-1-2

x=-3/-2