Question

Find an equation for the line: through (2,6) and perpendicular to y = -5/4x +1

Answer 1

Answer:

y = 4/5 x + 22/5

Step-by-step explanation:

the slope of a perpendicuar line is the opposite reciprocal of the slope given so -5/4 will change to 4/5  m=4/5

Now find b using y = mx + b by plugging in the m (4/5) and the point given (2,6)

6 = 4/5 (2) + b

6 = 8/5 + b

22/5 = b

Write the equation using m and b

y = 4/5 x + 22/5