Chapter 5 Review (Writing equations of lines)

Benchmark

(Writing equations of lines)

​INTEGRATED MATH III

Parallel lines have the SAME slope.

What is the slope of the line parallel to the line

Multiple Choice

What is the slope of the line parallel to the line

$$7x-3y=15$$  .

• $$m=\frac{7}{3}$$  

• $$m=-\frac{7}{3}$$  

• $$m=-\frac{3}{7}$$  

• $$m=7$$  

Multiple Choice

Write the equation of the line in slope intercept form that is parallel to $$7y-3x=9$$  and goes through the point (14,2).

• $$y=\frac{3}{7}x-8$$  

• $$y=-3x+2$$  

• $$y=-\frac{7}{3}x+2$$  

• $$y=\frac{3}{7}x-4$$  

Perpendicular line have Reciprocal slopes.

Multiple Choice

What is the slope of the line that is perpendicular to the line  $$y=-\frac{2}{3}x+4$$  .

• $$m=-\frac{2}{3}$$  

• $$m=-\frac{3}{2}$$  

• $$m=\frac{3}{2}$$  

• $$m=\frac{2}{3}$$  

Write the equation of the line in slope intercept form that is perpendicular to the line 3x-2y=10 and goes through the point (-4, 5).

Multiple Choice

Write the equation of the line in slope intercept form that is perpendicular to  $$9y-5x=17$$  and goes through the point (3, -5). 

• $$y=\frac{5}{9}x+6$$  

• $$y=-\frac{9}{5}x+\frac{2}{5}$$  

• $$y=-\frac{9}{5}x-4$$  

• $$y=\frac{9}{5}x+4$$  

Multiple Choice

Spring Benchmark Question #12 Which equation represents a line that is perpendicular to $$y\ =\ \frac{2}{3}x\ -5\$$ passes through the point ( 6, 12 )

• $$y\ =\frac{2}{3}x-2$$

• $$y\ =\ \frac{2}{3}x+8$$

• $$y\ =-\frac{3}{2}x+24$$

• $$y=-\frac{3}{2}x+21$$

Special Cases

x=a and y=b

Write the equation of the line that is parallel to y=4 and goes through the point (5, -6).

Write the equation of the line that is perpendicular to x=-2 and goes through the point (7, -3)

Multiple Choice

Write the equation of the line that is parallel to x=-3 and goes through the point (5, 9).

• $$x=9$$

• $$y=5$$

• $$y=9$$

• $$x=5$$

Multiple Choice

1) The equation of the like y=8 is what type of line and has what type of slope?

2) The equation of the line x=-5 is what type of line and has what type of slope?

• 1) Vertical and a slope is zero

  2) Horizontal and the slope is undefined.

• 1) Horizontal and a slope of zero

  2) Vertical and the slope is undefined.

• 1) Vertical and a slope is undefined

  2) Horizontal and the slope is zero

• 1) Straight and slope is 1

  2) Straight and the slope is -5

Poll

Which character represents my understanding of todays lesson,