WatermelonTalk
WatermelonTalk WatermelonTalk
  • 10-07-2017
  • Mathematics
contestada

Write the equation of the line in slope-intercept form that is represented in the graph below.

Write the equation of the line in slopeintercept form that is represented in the graph below class=

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VanillaAngelic
VanillaAngelic VanillaAngelic
  • 10-07-2017
My internet disconnected while I was typing last time so here I am again...
Slope-intercept form: y = mx + b
Finding the slope:
Slope formula: y2-y1/x2-x1
So in this case, plugging the coordinates in...
-3.75 - (-1.75)/ -0.75 - (-3.75)
= 2/3

So the slope is 2/3.

y= 2/3x + b

Now time to find the y-intercept, in which we can plug in one of the coordinates and solve.

Let's plug in... uhh... (-0.75, -3.75).
-3.75 = 2/3 (-0.75) + b
-3.75 = -0.5 + b
b = -3.25

So the equation is y= 2/3x - 3.25.
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