What is the slope of a line perpendicular to the line whose equation is 6 x + 5 y = − 30 Fully simplify your answer

Question

What is the slope of a line perpendicular to the line whose equation is 6x+5y=−30 Fully simplify your answer

Answer 1

When the equation of a line is given in Standard Format (Ax+By = C), the slope m = -A/B

You may convert the equation to slope-intercept form (y=mx+b) to see that this is true.

All perpendicular lines will have a slope that is the negative reciprocal of m -- which is B/A

For this problem, that is 5/6