Answer:
Then the desired equation is y = -2x - 6.
Step-by-step explanation:
As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6. Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.
Now use the slope-intercept equation of a straight line to determine the y-intercept of this line:
y = mx + b becomes 0 = -2(-3) + b, so that b = -6.
Then the desired equation is y = -2x - 6.
Check: Does (0, -6) satisfy y = -2x - 6? Is -6 = -2(0) - 6 true? YES
Answer:132
Step-by-step explanation:
Answer:
The computation of the angles show that the value of sin x and cos y will be 4/5 and 3/5 respectively.
How to calculate the angles?
From the information, we've to compute the length of the hypothenuse using Pythagoras theorem.
Therefore, 4² + 3² = hypothenuse²
hypothenuse² = 16 + 9
hypothenuse² = 25
hypothenuse = ✓25.
hypothenuse = 5
Therefore, sin x = opposite/hypothenuse = 4/5
cos y = adjacent/hypothenuse = 3/5
In conclusion, the values are 4/5 and 3/5.
Step-by-step explanation:
Number 2 is a constant rate of change
