This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
ScanSolve AI Answer
here's the solution in English: Here are the steps to solve this problem: Step 1: Find the gradient (slope) of the given line. The equation of the given line is y - 4x + 3 = 0. Rearrange this equation into the slope-intercept form y = mx + c: y = 4x - 3 The gradient of this line is m_1 = 4. Step 2: Find the gradient of the perpendicular line. A perpendicular line has a gradient that is the negative reciprocal of the original line's gradient. m_2 = -(1)/(m_1) = -(1)/(4) Step 3: Use the gradient of the perpendicular line and the point (-8, 5) to find the equation of the line. We use the point-slope formula: y - y_1 = m(x - x_1). Here m = -(1)/(4), x_1 = -8, and y_1 = 5. y - 5 = -(1)/(4)(x - (-8)) y - 5 = -(1)/(4)(x + 8) To eliminate the fraction, multiply both sides by 4: 4(y - 5) = -1(x + 8) 4y - 20 = -x - 8 Step 4: Rearrange the equation into the standard form (Ax + By + C = 0). x + 4y - 20 + 8 = 0 x + 4y - 12 = 0 The equation of the perpendicular line is x + 4y - 12 = 0. Got more? Send 'em!