Write the slope-intercept form of the equation of the line
1 answer:
The slope-intercept form of the equation of the line described is y = 3/4x - 4.
<h3>What is a slope?</h3>The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
<h3>How to calculate the slope of a line?</h3>Mathematically, the slope of a straight line can be calculated by using this formula;
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
- x and y are the points.
- m is the slope.
- c is the intercept.
The partial equation for the perpendicular line is given by:
y = 3/4x + c
At point (8, 2), we have:
2 = 3/4(8) + c
2 = 6 + c
c = 2 - 6
c = -4.
Therefore, the slope-intercept form of the equation of the line described is y = 3/4x - 4.
Read more on slope-intercept form here: brainly.com/question/1884491
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Answer:
The ball traveled 116.25 m when it hit the ground for the fifth term
Step-by-step explanation:
This is a geometric progression exercise and what we are asked to look for is the sum of a GP.
The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.
First value, a = 60
Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.
This is the common ratio, r = 1/2 = 0.5
The number of terms it hits the ground is the number of terms in the GP.
number of terms, n = 5
The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation: