Write Equation of a Line in Different Forms
Read this topicExplanations 6
- The equation of a line has no exponents or square roots, meaning the highest power of the equation of the line is 111. Any equation with a power of exactly 111 is called linear.…
By Audrey Yuan, Liza Sulkin, Amy Feraco
- (Videos) Finding the Slope and the Equation of a Line by PatrickJMT First, here's a video by PatrickJMT showing you how to find the slope of a line given two points. When calcul…
By Alex Federspiel, Amy Feraco
- (Video) Slope Intercept Form by Math Meeting This video by Math Meeting describes the slope-intercept form of a line. Summary\large{\text{Summary}}Summary Slope intercept form: …
By Stefan Cuevas, Alex Federspiel, Liza Sulkin, Amy Feraco
- (Video) Equation of a Line Given Point and Slope by Math Meeting This video by Math Meeting explains how to find the equation of a line given a point on the line and its slope. …
By Stefan Cuevas, Alex Federspiel, Liza Sulkin, Amy Feraco
- (Video) Equations of Lines by yaymath In this video, yaymath shows you how to find the equation of a line. Summary\large{\text{Summary}}Summary Slope-intercept form To find the …
By Alex Federspiel, Zora Gilbert, Amy Feraco
- Finding the Equation of a Line Let's first look at the standard form for the equation of a line. This form is also called slope-intercept form. (You'll see why it's given that n…
By Hannah Bonville, Alex Federspiel, Liza Sulkin
Problems 23
- A line passes through the point (−3,2)(-3,2)(−3,2) and has slope 444. What is its equation?
- What is the equation of the line passing through (2,3)(2,3)(2,3) and (−1,6)(-1,6)(−1,6)?
- What is the equation of the line through the points (−7,3)(-7,3)(−7,3) and (−8,7)(-8,7)(−8,7)?
- What is the equation of the line through the points (−8,−1)(-8,-1)(−8,−1) and (−8,1)(-8,1)(−8,1)?
- What is the equation of the line through the points (−2,9)(-2,9)(−2,9) and (−10,8)(-10,8)(−10,8)?
- Given the line through the points (2,6)(2,6)(2,6) and (3,1)(3,1)(3,1), which of the following points are also on the line?
- Are the points (1,5)(1,5)(1,5), (4,3)(4,3)(4,3), and (7,1)(7,1)(7,1) on the same line?
- If ab<0ab < 0ab<0, which of the following points cannot be on the line y=ax+by = ax +by=ax+b?
- Which of the following equations represents slope intercept form?
- Which of the following equations represents the slope of a line?
- A line passes through the point (−2,5)(-2, 5)(−2,5) and has a slope of 333. What is its equation in slope-intercept form?
- Consider the equation 4x+3y=54x+3y=54x+3y=5. Represent this equation in slope intercept form.
- Find the equation of the line containing the point (−3,1)(-3,1)(−3,1) and a slope of 222 in point-slope form.
- Find the equation of a line with the following properties: The yyy-intercept of the line is 222. The line passes through the point (−1,3)(-1,3)(−1,3).
- Given the line through the points (0,−2)(0,-2)(0,−2) and (2,4)(2,4)(2,4), which of the following points are also on the line?
- What two things must you do to write a linear equation in slope-intercept form?
- What does mmm in the slope equation represent?
- In order to join a debate team, there is a 202020 dollar startup fee and a 555 dollar annual fee. Write an equation in slope intercept form that models this situation.
- Using the equation y=2x−7y=2x-7y=2x−7, find the sum of the missing values in the table.
- Consider the standard layout of a tennis court. The letters represent the lines they are next to. Match the corresponding lines with their correct slopes.
- Find the equation of the line that passes through the point (−2,3)(-2,3)(−2,3) and (3,4)(3,4)(3,4)
- Select all equations of lines below that pass through (0,0)(0,0)(0,0), the origin of the plane.
- What is the least number of different points you need to write an equation for a line?