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<u>Answer-</u>
<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>
<u>Solution-</u>
The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.
For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.
Here we are given the three vertices of the triangle are J(-4,-1), K(-4,8) and L(2,8)
If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.
Applying distance formula we get,

As,




Therefore, the vertex at K (-4, 8) is the orthocentre.
Answer:
m = 
Step-by-step explanation:
Given
3m + 8 = 15 ( subtract 8 from both sides )
3m = 7 ( divide both sides by 3 )
m =
A 225 degree angle is equal to 3.92699 radians, but you can round that off to 3.93
Y=mx+b
slope= <u>rise
</u> run
<u />If its already graphed then you find where the line meets the y- line ( thats the b in the equation) from there you go up or down on the y- line to the point where the line next meets directly over another vertical line on the grid, the number of times you moved up or down is the "rise" in the equation for slope. After finding rise your move left or right from that point on the y-line until you meet the point where the line is and that will be the run. That fraction or number once you simplify the equation is you slope. Hope that helps.