Answer:
Step-by-step explanation:
Formula for straight lines:
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
Substitute b into original formula
use point-slope form to write equation of a line that passes through points (-1,4) and (-3,-5) in slope-intercept form
1 answer:
Answer:
y = 9x/2 + 17/2
Step-by-step explanation:
Use the slope formula: to find the slope of the line.
(4 - (-5)) / (-1 - (-3)) = (4 + 5) / (-1 + 3) = 9 / 2
y = mx + b
m is for slope, b = y-intercept
y = 9x/2 + b
Plug in one pair of the known values:
(-1,4)
4 = 9(-1)/2 + b
b = 4 + 9/2 = (8+9)/2 = 17/2
y = 9x/2 + 17/2
If you want to check if the equation is right, you can plug in the other pair of values into the equation:
(-3,-5), y = 9x/2 + 17/2
-5 = -3*9/2 + 17/2
-5 = -27/2 + 17/2
-5 = -10/2
-5 = -5
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The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)
The distance between both lighthouses is 5783.96 m
I've added an attachment that represents the scenario.
From the attachment, we have:
Convert to degrees
Convert to degrees
So, the measure of angle S is:
---- Sum of angles in a triangle
The required distance is distance AB
This is calculated using the following sine formula:
Where:
So, we have:
Make AB the subject
Hence, the distance between both lighthouses is 5783.96 m
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