tentukan pers. garis dari dua titik

<p>Jawaban yang benar adalah&nbsp;</p><p>a. 3x + 2y + 5 = 0 &nbsp;atau 3x + 2y = -5</p><p>b. y = -3</p><p>c. 4x - 5y - 10 = 0 atau 4x - 5y = 10</p><p>&nbsp;</p><p>&nbsp;</p><p>Pembahasan :</p><p>Rumus Umumnya :</p><p><strong>(y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)</strong></p><p>&nbsp;</p><p>a. A(-5,5) dan B(-3,2)</p><p>&nbsp; &nbsp; (y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)</p><p>&nbsp; &nbsp; (y - 5) / (2 - 5) = (x + 5) / (-3 + 5)</p><p>&nbsp; &nbsp; (y - 5) /-3 = (x + 5) /2</p><p>&nbsp; &nbsp; 2(y - 5) = -3(x + 5)</p><p>&nbsp; &nbsp; 2y - 10 = -3x - 15</p><p>&nbsp; &nbsp; 3x + 2y - 10 + 15 = 0</p><p>&nbsp; &nbsp; 3x + 2y + 5 = 0 &nbsp;atau 3x + 2y = -5</p><p>&nbsp;</p><p>b. X(-10,-3) dan Y(-4,-3)</p><p>&nbsp; &nbsp; (y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)</p><p>&nbsp; &nbsp; (y + 3) / (-3 + 3) = (x + 10) / (-4 + 10)</p><p>&nbsp; &nbsp; (y + 3) /0 = (x + 10) / 6</p><p>&nbsp; &nbsp; 6(y + 3) = 0 &nbsp; &nbsp; (dibagi 6)</p><p>&nbsp; &nbsp; y + 3 = 0 &nbsp;</p><p>&nbsp; &nbsp; y = -3</p><p>&nbsp;&nbsp;</p><p>c. P(-10,-10) dan P(-5,-6)<br>&nbsp; &nbsp; (y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)</p><p>&nbsp; &nbsp; (y + 10) / (-6 + 10) = (x + 10) / (-5 + 10)</p><p>&nbsp; &nbsp; (y + 10) /4 = (x + 10) /5</p><p>&nbsp; &nbsp; 5(y + 10) = 4(x + 10)</p><p>&nbsp; &nbsp; 5y + 50 = 4x + 40</p><p>&nbsp; &nbsp; 4x - 5y + 40 - 50 = 0</p><p>&nbsp; &nbsp; 4x - 5y - 10 = 0 atau 4x - 5y = 10</p><p>&nbsp; &nbsp;</p>