Find the slope of the line graphed below.
1 answer:
You might be interested in
Answer:
The lines are parallel i.e. KM || ST
Step-by-step explanation:
Given
K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)
In order to find if the lines are parallel, perpendicular or neither slope will be used.
The slope of any line which passes from two points and
is given by the formula
If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1
So, first slopes of both lines will be calculated.
Let m1 be the slope of KM
and
m2 be the slope of ST
<u>In case of KM:</u>
Putting the values in the formula for slope
<u>In case of ST:</u>
<u></u><u></u>
Putting the values in the formula for slope
As we can see that slope of both lines KM and ST are equal
i.e. m1 = m2 = -3
Hence,
The lines are parallel i.e. KM || ST
Answer:
Given in figure ABCD:
∠ABD≅∠CBD
AB≅CB
To prove:
∠A≅∠C
Solution:
In the figure ABCD, we will first prove the Δ ABD and Δ CBD are congruent.
Thus the proof can be given as:
Statement Reason
1) Given
2) Given
3) Reflexive property of congruence (As the segment is congruent to itself)
4) S.A.S (Side Angle side)
5) Corresponding parts of congruent triangles are congruent.
Hence proved.