Answer :

Answer:

Step-by-step explanation:

point-slope formula looks like  y-y1 = m(x - x1)

the formula for slope looks like  m = (y2-y1) / (x2 - x1)

Memorize both of the above formulas, you'll need them often

along with this  slope-intercept formula  y =  mx + b

Point-slope and  slope-intercept do more or less the same things but they are both useful, know them both  

we are given 2 points , P1 and P2  , where P1=( -5, 4 )  and  P2 = (1,6)  side note here: the questions actually gives us 2 tractions, but, I'm pretty sure that it's just a typo and the above is correct, with the points.  

then slope  m = (y2-y1) / (x2 - x1)  where P1 = (x1,y1 ) in our formula and P2 = (x2,y2) in the formula

so plug in P1 and P2

m = (6 - 4 ) / (1 - (-5) )

m = 2 / (1 + 5)

m = 2 / 6

m = 1/3

now use either point P1 or P2,  and plug into the point-slope formula, I'll use P1

y - 4 = 1/3(x - (-5) )

y - 4 = 1/3(x + 5 )

:)

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