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)

Part 1)

Part 2)

Step-by-step explanation:

The equation of the line in point slope form is

we're going to analyze two cases

First case

substitute

therefore

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

Second  case

substitute

therefore

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

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.