A stone is dropped from a height of 490 meters. I how many seconds does it hit the ground?
1 answer:
You might be interested in
Answer:
<em>1. The slope of the line is </em><em />
<em>2. The y-intercept is 4</em>
<em>3. The x-intercept is 12</em>
Step-by-step explanation:
<u>The Standard Form of a Line</u>
A line can be expressed in several forms, one of which is the called standard form:
Ax + By = C
Other forms may prove useful to know some characteristics of the line, like the slope and intersects.
The given line has the equation:
Another form of the line is the slope-intercept:
Where m is the slope and b is the y-intercept of the line.
To convert from the standard form to the slope-intercept form, we solve it for y. It's convenient to eliminate the decimals by multiplying by 2:
And dividing by 3:
Now subtract x:
Divide by 3:
Separating fractions:
Operating:
1. Compare with the slope-intercept form and get:
The slope of the line is
2. The y-intercept can be also obtained from the slope-intercept form: b=4
Thus, the y-intercept is 4
3. The x-intercept can be found by setting y=0 and solving for x in the standard form:
x+3y=12
x+3(0)=12
x=12
The x-intercept is 12