Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (-1, 5) and is perpendicular to the line 6 x + 7 y = -6
A) 7 x - 6 y = -37
B) 7 x - 6 y = 23
C) 7 x + 6 y = -37
D) x - 6 y = 23
E) 7 x + 6 y = 23

Question

Quizplus · Accepted Answer

The slope of the given line 6x + 7y = -6 is -6/7. A line perpendicular to it will have a slope of 7/6 (negative reciprocal). Using the point-slope form y - y1 = m(x - x1) with point (-1, 5) and slope 7/6, we get y - 5 = (7/6)(x + 1). Simplifying to standard form Ax + By = C gives 7x - 6y = -37.

Write the Equation of the Line That Satisfies the Given