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y = 8x + 3

Step-by-step explanation:

We already know that the slope-intercept of the line is y = mx + b. We know that b = 3 because the line goes through (0, 3), which is the x-intercept. Now to find the slope, or m. The slope of a line is (y₂ - y₁) / (x₂ - x₁). In this case we have (x₁ , y₁) = (-1, -5) and (x₂ , y₂) = (0, 3). Plugging these in we get

(3 - (-5)) / (0 - (-1)) = 8 / 1 = 8. Therefore our answer is y = 8x + 3. Hope this helps!

answer: x=60

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