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Find the slope-intercept form of the line that satisfies the given conditions (9,0) and (-3,2)

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Answer:

y = (-1/6)x + 3/2

Explanation:

1. FIND SLOPE:

formula to find slope given 2 points

y2 - y1

x2 - x1

substitute the points we were given

2 - 0

-3 - 9

finally, simplify.

2 = -2 = -1 this is the slope

-12 12 6

2. FIND Y-INTERCEPT:

Lastly, we have to figure out the y-intercept.

To do this, plug in our slope and either one of the points to y = mx+b.

(2) = (-1/6)(-3) + b

now, just solve for b, the y-intercept.

(2) = (1/2) + b

b = 3/2

now plug in both the slope and y-intercept that we found. that's it.

slope-intercept form is y = mx + b, where m=slope and b=y-int.

y = (-1/6)x + 3/2

User Shaq
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