Which of the following is a correct equation for the line passing through the point (-1,-4) abd having slope m=-3

point slope form y+4 = -3(x+1)

slope intercept form y = -3x-7

Step-by-step explanation:

We have a point and a slope, we can use the point slope form for the equation

y-y1 = m(x-x1)

y--4 = -3 (x--1)

y+4 = -3(x+1)

We can also manipulate the equation into slope intercept form

Distribute

y+4 = -3x -3

Subtract 4 from each side

y+4-4 =-3x-3-4

y = -3x-7

hiking down a winding trail.

step-by-step explanation:

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)