Question

Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? Y – 6 = y minus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x minus 2 right parenthesis.(x – 2) y – 6 = y minus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x minus 2 right parenthesis.(x – 2) y + 6 = y plus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x plus 2 right parenthesis.(x + 2) y + 6 = y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis.(x + 2)

Answer 1

Answer:

Part 1) $y+6=\frac{2}{5}(x+2)$

Part 2) $y+6=\frac{5}{2}(x+2)$

Step-by-step explanation:

The equation of the line in point slope form is

$y-y1=m(x-x1)$

we're going to analyze two cases

First case

$Point\ (-2,-6)$

$slope\ m=\frac{2}{5}$

substitute

$y+6=\frac{2}{5}(x+2)$

therefore

y plus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x plus 2 right parenthesis

Second  case

$Point\ (-2,-6)$

$slope\ m=\frac{5}{2}$

substitute

$y+6=\frac{5}{2}(x+2)$

therefore

y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis

Answer 2

Answer:

Option D y + 6 = y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis.(x + 2)

Step-by-step explanation: