Category 3: Parallel Perpendicular Lines and HOY VUX

What is the equation in slope-intercept form of the line that passes through the point (−12, 8) and is parallel to the line represented by 𝑦=−1.25𝑥+1?

• 𝑭. 𝑦 = −1.25𝑥−2
• 𝑮. 𝑦 = 1.25𝑥+2
• 𝑯. 𝑦 = −1.25𝑥−7
• 𝑱. 𝑦 = 1.25𝑥+7

What is the equation in slope-intercept form of the line that passes through the point (−9, −6) and is parallel to the line represented by 𝑦+5=1⁄3(𝑥+4)?

• 𝑨. 𝑦 = 1⁄3𝑥−3
• 𝑩. 𝑦 = 1⁄3𝑥−7
• 𝑪. 𝑦 = −1⁄3𝑥+3
• 𝑫. 𝑦 = −1⁄3𝑥+7

What is the equation in slope-intercept form of the line that passes through the point (−3, 10) and is perpendicular to the line represented by 3𝑥+𝑦=−2?

• 𝑨. 𝑦 = 1⁄3𝑥+11
• 𝑩. 𝑦 = 3𝑥+19
• 𝑪. 𝑦 = 1⁄3𝑥+9
• 𝑫. 𝑦 = 3𝑥−27

What is the equation in slope-intercept form of the line that passes through the point (7, −7) and is perpendicular to the line graphed below?

• 𝑨. 𝑦 = −4⁄7𝑥+11
• 𝑨. 𝑦 = −4⁄7𝑥-11
• 𝑪. 𝑦 = 4⁄7𝑥+11
• 𝑫. 𝑦 = 4⁄7𝑥−11

Which statement best represents the equation of the line shown on the grid and its relationship to the 𝑦-axis?

• 𝑨. The equation of the line is 𝑥=−4 and it is parallel to the 𝑦-axis.
• 𝑩. The equation of the line is 𝑦=−4 and it is parallel to the 𝑦-axis.
• 𝑪. The equation of the line is 𝑥=−4 and it is perpendicular to the 𝑦-axis.
• 𝑫. The equation of the line is 𝑦=−4 and it is perpendicular to the 𝑦-axis.

What are the equation and slope of the line shown on the grid?

• 𝑨. 𝑦 = 3; slope is 3
• 𝑩. 𝑦 = 3; slope is 0
• 𝑪. 𝑥 = 3; slope is 3
• 𝑫. 𝑥 = 3; slope is undefined

What is the equation of the line that passes through the point (−3, 5) and has an undefined slope?

• 𝑭. 𝑥 = −3
• 𝑮. 𝑦 = −3
• 𝑯. 𝑥 = 5
• 𝑱. 𝑦 = 5