SOLUTION: Type a slope-intercept equation of the line that passes through the point (-1,3) and (2,-3). y=[]x+[]

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Question 1004877: Type a slope-intercept equation of the line that passes through the point (-1,3) and (2,-3).
y=[]x+[]

Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
(-1,3) and (2,-3). The first number in an ordered pair stands for x and the second for y.
The slope-intercept equation:
y= mx+b The slope is represented by the letter m. Let's find the slope:
m= (y_2-y_1)/(x_2-x_1) Remember this _ means sub, so y_2= big y little 2
m= (-3-3)/(2--1)
m= (-6)/(3)
m= -2
Now we need to find our y-intercept, represented in the equation by the letter b:
y= mx+b
If we take one of our ordered pairs (any of the two) we can plug it in for x and y and solve for b. Let's take the first pair, (-1, 3). We get
3= -2(-1)+b
3= 2+b subtract 2 on both sides:
b= 1 Now we have our intercept:
y-mx+b
y= -2x+1 These are your two pair of ordered points written in slope-intercept

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