Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (-1, 9) and is perpendicular to the line 8 x - 7 y = -4
A) 7 x + 8 y = 65
B) 7 x + 8 y = -79
C) 7 x - 8 y = 65
D) x + 8 y = -79
E) 7 x - 8 y = -79

Question

Quizplus · Accepted Answer

The slope of the given line 8x - 7y = -4 is 8/7. A line perpendicular to it will have a slope of -7/8 (negative reciprocal). Using the point (-1, 9) and the slope -7/8, the equation in point-slope form is y - 9 = -7/8(x + 1). Simplifying to standard form, we get 7x + 8y = 65.

Write the Equation of the Line That Satisfies the Given