a weather balloon is launched from a height of 475 feet above sea level. the balloon rises at a constant rate of 85 feet per min
1 answer:
In this question , it is given that a weather balloon is launched from a height of 475 feet above sea level. the balloon rises at a constant rate of 85 feet per minute.
Here we use the slope intercept form, which is
Where, y is the height h, x is the time, t. And m represents slope, which is 85.
b represents the initial height , which is 475 feet.
On substituting these values, we will get
And at t = 16 minutes, we will get
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Hello!
To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.
Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.
1. Find the slope
The slope formula is: . To use this formula, you need two points and also, you need to assign these points to
,
,
, and
.
In this case, and
is assigned to the ordered pair (1,3), while
and
is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.
The slope of these two points is 2.
2. Find the y-intercept
To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.
y = 2x + b (substitute)
3 = 2(1) + b (simplify)
3 = 2 + b (subtract 2 from both sides)
1 = b
The y-intercept of the two points is (0, 1).
With the necessary values to complete the equation, we can write the final equation.
The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.