The points (-3,9) and (-1,r) lie on line with slop -2.
1 answer:
Answer:
The value of r is 5
Step-by-step explanation:
<u><em>The question is</em></u>
Find out the value of r
we know that
The formula to calculate the slope between two points is equal to
we have the points
(-3,9) and (-1,r)
substitute
Remember that
substitute the value of m
Solve for r
Multiply by 2 both sides
Adds 9 both sides
Rewrite
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Hope this helps you out . Of solving for k then just set it equal to zero
Given:
The bases of a trapezoid lie on the lines
To find:
The equation that contains the midsegment of the trapezoid.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
On comparing with slope intercept form, we get
On comparing with slope intercept form, we get
The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.
The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.
So, the y-intercept of the required line is 1.
Putting m=2 and b=1 in slope intercept form, we get
Therefore, the equation of line that contains the midsegment of the trapezoid is .