The scale on a map says the 6 cm represents 15 km. What is the actual number of kilometers that is represented by 11 centimeters
1 answer:
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In the Slope-Intercept Form, m is the slope and b is the y-intercept.
<u>Finding The Equation of a Line Parallel to the Given Line:</u> Let the given line be line a and the parallel line be line b.
1) Find the slope of line a.
Example: Line a --> . The slope is 5.
2) Find the y-intercept of line b.
To do this, you need to be given the coordinates of a point located on line b.
Example: The slope is 5 and the point is (2, 3), use the Slope-Intercept Formula, --->
. Then you solve for b.
The y-intercept of line b is -7
3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.
Example: The slope of line b is 5 and the y-intercept is -7. The equation of line b is .
<u>Finding The Equation of a Line Perpendicular to The Given Line:</u> Let the given line be line a and the perpendicular line be line b.
1) Find the opposite reciprocal of the slope of line a.
Example: Line a --> . The slope is 5, to find the opposite reciprocal of the slope you use n -->
. In this case, it would be
. The opposite reciprocal of the slope of line a is
, which would be the slope of line b.
2) Find the y-intercept of line b.
To do this, you need to be given the coordinates of the point where line a and line b both intersect.
Example: The slope of line b is and the point is (1, 7), use the Slope-Intercept Formula,
--->
. Then you solve for b.
The y-intercept of line b is .
3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.
Example: The slope of line b is and the y-intercept is
. The equation of line b is
.