[Bite-Size Guide] Are the Lines “𝑥 - 5𝑦 = 5” and “𝑦 = -5𝑥 + 4” Parallel or Perpendicular? | Algebra

This video will guide you through [How to Determine Whether the Lines “𝑥 - 5𝑦 = 5” and “𝑦 = -5𝑥 + 4” are Parallel or Perpendicular].
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📌 Parallel Lines ➜ lines in the same plane that do not intersect
✓ Parallel lines have the same slope and different 𝑦-intercepts.
✓ If 𝑚1 and 𝑚2 are the slopes of two parallel lines, then 𝑚1 = 𝑚2.
✓ Parallel vertical lines have different 𝑥-intercepts.
📌 The lines with the same slope and the same 𝑦-intercepts represent the same line.
📌 Perpendicular Lines ➜ lines in the same plane that form a right angle
✓ If 𝑚1 and 𝑚2 are the slopes of two perpendicular lines, then 𝑚1 • 𝑚2 = -1.
✓ Vertical lines and horizontal lines are always perpendicular to each other.
📌 Slope-Intercept Form ➜ the slope-intercept form of an equation of a line with slope 𝑚 and 𝑦-intercept (0, 𝑏) is 𝑦 = 𝑚𝑥 + 𝑏
📌 𝑦-intercept ➜ the point where the line crosses the 𝑦-axis. It has the form (0, 𝑏).
📌 In mathematics, the ‘tilt’ of a line is called the SLOPE of the line.
📌 Slope of Line ➜ 𝑚 = (rise)/(run).
Between two points on the line, the rise measures the vertical change, and the run measures the horizontal change.
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✅ More BITE-SIZE VIDEOS on "Parallel and Perpendicular Lines”
➤ Are the lines parallel or perpendicular? “𝑦 = -2𝑥 + 3” and “𝑦 = -2𝑥 - 1”: • [Bite-Size Guide] Are ...
➤ Are the lines parallel or perpendicular? “3𝑥 - 2𝑦 = 6” and “𝑦 = (3/2)𝑥 + 1”: • [Bite-Size Guide] Are ...
➤ Are the lines parallel or perpendicular? “𝑦 = -4” and “𝑦 = 3”: • [Bite-Size Guide] Are ...
➤ Are the lines parallel or perpendicular? “𝑥 = -2” and “𝑥 = 3”: • [Bite-Size Guide] Are ...
➤ Are the lines parallel or perpendicular? “-6𝑥 + 3𝑦 = -9” and “𝑦 = 2𝑥 - 3”: • [Bite-Size Guide] Are ...
➤ Are the lines parallel or perpendicular? “𝑦 = -2𝑥 + 2” and “𝑦 = (1/2)𝑥 - 1”: • [Bite-Size Guide] Are ...
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🌏 Translated titles:
Spanish: ¿Las rectas son paralelas o perpendiculares?
French: Les lignes sont-elles parallèles ou perpendiculaires ?
German: Sind die Linien parallel oder senkrecht?
Portuguese: As linhas são paralelas ou perpendiculares?
Hindi: क्या रेखाएँ समानांतर हैं या लंबवत?
Filipino: Ang mga linya ba ay parallel o patayo?
Indonesian: Apakah garis-garisnya sejajar atau tegak lurus?
Japanese: 線は平行ですか、それとも垂直ですか?
Russian: As linhas são paralelas ou perpendiculares?
Vietnamese: Các đường thẳng song song hay vuông góc?