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Effectus [21]
3 years ago
14

What is the slope-intercept equation of the line going through (-2,5) and (1,-1)?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:

y = -2x+1

Step-by-step explanation:

The slope is found by

m = (y2-y1)/(x2-x1)

   = (-1-5)/(1--2)

    = -6/(1+2)

    = -6/3

    = -2

Then we can use point slope form to make an equation

y-y1 = m(x-x1)

y-5 = -2(x--2)

y-5 = -2(x+2)

Distribute

y-5 = -2x -4

Add 5 to each side

y-5+5 = -2x-4+5

y = -2x+1

This is in point slope form

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To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope (\frac{1}{3}) by counting up 1 and to the right 3 of the y-intercept.  This gives you a second point of (3. 0).  Draw a line through those two coordinates.

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***************************************************************************************

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