The coordinates of the vertices of △jkl are j(0, 2) , k(3, 1) , and l(1, −5) .

drag and drop the choices into each box to correctly complete the sentences.

the slope of jk is , the slope of kl is , and the slope of jl is . △jkl a right triangle because .

Part 1) The slope of JK is

Part 2) The slope of KL is

Part 3) The slope of JL is

Part 4) Triangle JKL is a right triangle because two of these slopes have a product of -1

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

we have

Part 1) Find the slope JK

we have

substitute in the formula

Part 2) Find the slope KL

we have

substitute in the formula

Part 3) Find the slope JL

we have

substitute in the formula

Part 4) Compare the slopes

we have that

JK and KL are perpendicular because their slopes are opposite reciprocal

The product of their slopes is equal to -1

therefore

Triangle JKL is a right triangle because two of these slopes have a product of -1

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116