Find the equation of the line perpendicular to y=4x+1 and passing through (-3,-3)

The equation of the line would be y = -1/4 - 9/4

Step-by-step explanation:

To find the equation of the perpendicular line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Since the original slope was 4, we know the new slope is -1/4.

Now that we have that, we can use the slope and point-slope form to get the equation.

y - y1 = m(x - x1)

y + 3 = 1/4(x + 3)

y + 3 = 1/4x + 3/4

y = 1/4x - 9/4