Write an equation in slope-intercept form for the line with slope -2/3
and y-intercept -4.

Step-by-step explanation:

Given

slope (m) = - 2/ 3

Y-intercept (c) = - 4

Now writing in Slope intercept form

y = mx + c

y =( - 2/3) x - 4

Hope it will help :)

he has now walked a total of what?

if i know what this is maybe i can

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west