Answer:
y - 1 = 2/3(x + 9)
Explanation:
Point slope formula:
y - y1 = m(x - x1)
y1 and x1 represent a set of coordinates and m represents the slope.
If we are given a slope and a points, all we have to do is plug those values into the formula.
We are given:
Point = (-9, 1)
Slope = 2/3
Now that we know the values of each variable in the equation, all we need to do is substitute the values we are given into the formula/equation.
Formula:
y - y1 = m(x - x1)
Substitute:
y - (1) = (2/3)(x - (-9))
Don't get confused by the parenthesis, I only put them there to delineate that I substituted values.
Now simplify a little further while keeping them in their main positions- DO NOT get rid of the parenthesis that are in the original formula (this would atrophy the purpose of the point-slope formula). When we simplify, I mean to combine any negatives/positives (two negatives = positive, two positives = positive, one negative and a positive = negative).
So we get:
y - 1 = 2/3(x + 9)
I added 9 in the parenthesis because two negatives combine to make a positive.
So essentially your equation will be:
y - 1 = 2/3(x + 9)