U4 L12 Perpendicular Lines

Math Response

Write the equation of the line in standard form $$\left(Ax+By=C\right)$$ that passes through the points $$(−8,−9)$$ and $$(16,12)$$ .

Hint, find your slope ➡️put in point slope form ➡️ distribute and put in slope intercept form ➡️ FINAL FORM!

Type answer here

Correct Answer: 7x-8y=16

Deg^°

Rad

​A right angle is 90 degrees.

Math Response

Write the opposite reciprocal for the following number.

$$-6$$

Type answer here

Correct Answer: \frac{1}{6}

Deg^°

Rad

Math Response

Write the opposite reciprocal for the following number.

$$\frac{3}{4}$$

Type answer here

Correct Answer: -\frac{4}{3}

Deg^°

Rad

Math Response

Write the opposite reciprocal for the following number.

$$1$$

Type answer here

Correct Answer: -1

Deg^°

Rad

Math Response

Write the opposite reciprocal for the following number.

$$-\frac{1}{7}$$

Type answer here

Correct Answer: 7

Deg^°

Rad

Multiple Choice

Nicole graphed the set of linear functions. Will the lines be considered perpendicular?

• Yes the lines are perpendicular because the slopes are opposite reciprocals.

• No the lines are not perpendicular because the slopes are not opposite reciprocals.

Multiple Choice

Connor graphed the set of linear functions. Will the lines be considered perpendicular?

• Yes the lines are perpendicular because the slopes are opposite reciprocals.

• No the lines are not perpendicular because the slopes are not opposite reciprocals.

Multiple Choice

Aaliyah drew a line that passes through the point $$(1,−7)$$ and is perpendicular to the line $$y=\frac{1}{2}x+1$$ . What is the equation of Aaliyah’s line?

• $$y=2x−1$$

• $$y=−2x−5$$

• $$y=\frac{1}{2}x-1$$

• $$y=-\frac{1}{2}x+1$$

Multiple Choice

April wrote an equation of the line perpendicular to the line

$$3x+2y=2$$ and contains the point $$(1,−2)$$ . Which of the following represents the equation?

• $$3x−2y=8$$

• $$3x+2y=8$$

• $$2x+3y=8$$

• $$2x−3y=8$$

Math Response

Nora graphed a line that passes through the point H and is perpendicular to the line $$2x+10y=20$$ . Write the equation in slope intercept form to represent the line Nora graphed.

Type answer here

Correct Answer: y=5x-7

Deg^°

Rad

Math Response

Sonia graphed a line that is perpendicular to the line 2x − 5y = 4 and has an x-intercept of 6. Write the equation in slope intercept form to represent the line Sonia graphed.

Remember, the x-intercept is a point when...?

Type answer here

Correct Answer: y=-\frac{5}{2}x+15

Deg^°

Rad

Multiple Choice

Arnoldo graphed a linear function on the graph. Which statement best represents the equation of the line shown on the grid and its relationship to the x-axis?

• The equation of the line is x = −1, and the line is perpendicular to the x-axis.

• The equation of the line is x = −1, and the line is parallel to the x-axis.

• The equation of the line is y = −1, and the line is perpendicular to the x-axis.

• The equation of the line is y = −1, and the line is parallel to the x-axis.

Multiple Select

Mrs. Jackson asked her students to write equations perpendicular to the line on the graph. Which lines would be perpendicular? Select TWO correct answers.

• $$y=−3x+2$$

• $$y−5=−3(x+3)$$

• $$3x+y=−4$$

• $$3x−y=4$$

• $$y=-\frac{1}{3}x-4$$

Math Response

Ravi graphed a line that passes through the point (3, −8) and is perpendicular to the line $$y=-\frac{3}{4}x+9$$ . Write the equation in slope intercept form that represents Ravi’s line.

Type answer here

Correct Answer: y=\frac{4}{3}x-12

Deg^°

Rad

Multiple Choice

What is the equation of the line that is perpendicular to a line that passes through the points (3, –1) and (–8, –2) and contains the point (1, –9).

• $$11x+y=20$$

• $$x−11y=8$$

• $$y=−11x+2$$

• $$7x+4y=11$$

Multiple Choice

Which of the following is perpendicular to the line 8x – 4y = 14 and contains the point (–4, 3).