Question

a straight line passes through the point (0,6) and is perpendicular to y= 4x - 5. find the equation of this line, giving your answer in the form y= mx + c

Answer 1

Answer:

$y=-\frac{1}{4} x+6$

Step-by-step explanation:

To find the perpendicular line of y=4x-5 you need to substitute to its slope (4), the anti-reciprocal number (-1/4).

Now you know the slope of the second line let's find the y-intercept (which is the point 0,6):

$y=-\frac{1}{4} x+6$