Answer any of the following questions:

1. Write the equation of the line which passes through (5, - 2) and is parallel to x = 4.

2. Write the equation of the line which passes through (2, 1) and is perpendicular to x = - 2.

3. Write the equation of the line which passes through (-4, 2) and is parallel to y = - x + 6 in slope-intercept form.

4. Write the equation of the line which passes through (2, - 3) and is perpendicular to y = 4x + 7 in standard form.

5. Using complete sentences, describe one example of a place in your everyday life of parallel lines and one example of perpendicular lines

1.) parallel lines has equal slopes. Line x = 4 is a vertical line, hence required line is a verticsl line with equation x = 5.

2.) the line x = - 2 is a vertical line, hence required line is a horizontal line with equation y = 1.

3.) line y = - x + 6 has a slope of - 1, hence, required equation is y - y1 = - 1 (x - x1)

y - 2 = - (x - (-4))

y - 2 = - (x + 4)

y - 2 = - x - 4

y = - x - 4 + 2

y = - x - 2

The equation of the line has a general formula of y = mx+b

1. Write the equation of the line which passes through (5, - 2) and is parallel to x = 4.

The equation of the line that is parallel to x = 4 would be an equation that the never intersect y and has an infinite slope. So, the equation should be x = 5.

2. Write the equation of the line which passes through (2, 1) and is perpendicular to x = - 2.

The equation should be x = 2.

3. Write the equation of the line which passes through (-4, 2) and is parallel to y = - x + 6 in slope-intercept form.

The slope of the line should be equal to the given equation.

y - 2 = - 1 (x - (-4))

y = - x + 6

4. Write the equation of the line which passes through (2, - 3) and is perpendicular to y = 4x + 7 in standard form.

The slope of the line should be the negative reciprocal to the given equation.

y - - 3 = - 1/4 (x - (2))

y = - 1/4 x - 5

5. Using complete sentences, describe one example of a place in your everyday life of parallel lines and one example of perpendicular lines.

Parallel lines - sides of a book

Perpendicular lines - window pane