a map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 4.5 square inches. What is the actual area
2 answers:
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Answer:
Part 40)
Part 41)
Part 42)
Step-by-step explanation:
Remember that
If two lines are parallel, then their slopes are the same
Part 40) Write an equation of the line that passes through the given point
and is parallel to the given line
we have
Point (4,1)
Given line y=-2x+7
step 1
Find the slope of the given line
The given line is a equation of the line in slope intercept form
where
m is the slope
b is the y-intercept
so
The slope of the given line is
step 2
Find the y-intercept b
we have
substitute in the linear equation
solve for b
step 3
Find equation of the line that passes through the given point and is parallel to the given line
we have
substitute
The equation of the line is
Part 41) Write an equation of the line that passes through the given point
and is parallel to the given line
we have
Point (0,6)
Given line y=5x-3
step 1
Find the slope of the given line
The given line is a equation of the line in slope intercept form
where
m is the slope
b is the y-intercept
so
The slope of the given line is
step 2
Find the y-intercept b
----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)
step 3
Find equation of the line that passes through the given point and is parallel to the given line
we have
substitute in the linear equation
Part 42) Write an equation of the line that passes through the given point
and is parallel to the given line
we have
Point (-5,-2)
Given line y=(2/3)x+1
step 1
Find the slope of the given line
The given line is a equation of the line in slope intercept form
where
m is the slope
b is the y-intercept
so
The slope of the given line is
step 2
Find the y-intercept b
we have
substitute in the linear equation
solve for b
step 3
Find equation of the line that passes through the given point and is parallel to the given line
we have
substitute
The equation of the line is