Find the x intercept and the y intercept of 2x - y = -2

We can quickly convert this to slope-intercept form to make it easier to find the y and x intercepts.

Slope intercept form: y = mx + b

Add y to both sides.

2x = -2 + y

Add 2 to both sides.

y = 2x + 2

To find the x intercept, we need to replace the value of y with 0.

0 = 2x + 2

Subtract 2 from both sides.

-2 = 2x

Divide both sides by 2.

x = -1

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