The original point is (-3, -1), what is the new point after a translation of 3 units left and 4 units up?

New point is ( - 6, 3).

Step-by-step explanation:

x= -3, after translation 3 units left, we get X = - 3 - 3 = - 6

y = -1, after translation 4 units up, we get X = -1 + 4 = 3

New point is ( - 6, 3).

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)