[Bite-Size Guide] Find an equation of a line that contains the points (3, 4) and (5, 6) | Algebra
This video will guide you through [How to find an equation of a line that contains the points (3, 4) and (5, 6)].
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📌 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.
📌 Slope Formula ➜ the slope of the line between two points (𝑥1, 𝑦1) and (𝑥2, 𝑦2) is 𝑚 = (𝑦2 – 𝑦1)/(𝑥2 – 𝑥1)
📌 How to Find an Equation of a Line Given Two Points
✓ Step 1. Find the slope using the given points.
✓ Step 2. Choose one point.
✓ Step 3. Substitute the values into the Slope-Intercept Form.
✓ Step 4. Write the equation in slope-intercept form.
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✅ More BITE-SIZE VIDEOS on "Finding Equation of Line”
➤ Find an equation of a line with slope 3 and 𝑦-intercept (0, –1): • [Bite-Size Guide] Find an equation of a li...
➤ Find an equation of a line with slope 𝑚 = 3 that contains the point (–1, 2): • [Bite-Size Guide] Find an equation of a li...
➤ Find an equation of a line with slope 𝑚 = –1/3 that contains the point (6, –4): • [Bite-Size Guide] Find an equation of a li...
➤ Find an equation of a horizontal line that contains the point (–1, 2): • [Bite-Size Guide] Find an equation of a ho...
➤ Find an equation of a line parallel to 𝑦 = 2𝑥 – 3 that contains the point (–2, 1): • [Bite-Size Guide] Find an equation of a li...
➤ Find an equation of a line perpendicular to 𝑦 = 2𝑥 – 3 that contains the point (–2, 1): • [Bite-Size Guide] Find an equation of a li...
➤ Find an equation of a line perpendicular to 𝑦 = –4 that contains the point (–4, 2): • [Bite-Size Guide] Find an equation of a li...
🗂 Playlist: “Graphs” ➜ • Playlist
🗂 Playlist: “Rectangular Coordinate System” ➜ • Rectangular Coordinate System
🗂 Playlist: “Graphing Linear Equations” ➜ • Graphing Linear Equations
🗂 Playlist: “Slope and 𝑦-Intercept of Line” ➜ • Slope and Intercepts of Line
🗂 Playlist: “Parallel/Perpendicular Lines” ➜ • Parallel/Perpendicular Lines
🗂 Playlist: “Finding Equation of Line” ➜ • Finding Equation of Line
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🌏 Translated titles:
Spanish: Encuentra una ecuación de una recta que contiene los puntos (3, 4) y (5, 6)
French: Trouver l'équation d'une droite contenant les points (3, 4) et (5, 6)
German: Finden Sie eine Gleichung einer Geraden, die die Punkte (3, 4) und (5, 6) enthält.
Portuguese: Encontre uma equação de uma reta que contém os pontos (3, 4) e (5, 6)
Hindi: उस रेखा का समीकरण खोजें जिसमें बिंदु (3, 4) और (5, 6) हों
Filipino: Maghanap ng equation ng isang linya na naglalaman ng mga puntos (3, 4) at (5, 6)
Indonesian: Tentukan persamaan garis yang memuat titik (3, 4) dan (5, 6)
Japanese: 点 (3, 4) と (5, 6) を含む直線の方程式を求めます。
Russian: Найдите уравнение прямой, содержащей точки (3, 4) и (5, 6).
Vietnamese: Tìm phương trình đường thẳng chứa các điểm (3, 4) và (5, 6)