Question

Lion JK passes through points J -3, 11 and K1, -3 what is the equation of the lien standard form

Answer 1

EXPLANATION

Given the ordered pairs: J(-3,11) and K(1,-3), to calculate the equation of the line we use the following expression:

y= mx + b

First, we need to calculate the slope in this way:

`\text{Slope = }((y2-y1))/((x2-x1))=((-3-11))/((1-(-3)))=((-14))/((4))=-(7)/(2)`

With this slope-value we take either one ordered pair and calculate b-value:

`11\text{ = -}(7)/(2)(-3)+b`

Simplifying:

`11\text{ = }\frac{\text{21}}{2}+b`

Isolating b:

`b\text{ = 11 - }(21)/(2)\text{ = }\frac{\text{1}}{2}`

Then, the equation will be:

`y\text{ = -}(7)/(2)x+(1)/(2)`

The standard form will be:

`(7)/(2)x+y\text{ = }(1)/(2)`

Multiplying both sides by 2:

`7x+2y\text{ = 1}`

ANSWER is B) 7x + 2y = 1