popcornseeds popcornseeds
  • 16-11-2020
  • Mathematics
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A line passes through the point (-6, -8) and has a slope of 3/2
Write an equation in slope-intercept form for this line.

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Respuesta :

keithshawcooltools
keithshawcooltools keithshawcooltools
  • 16-11-2020

Answer:

y=3/2(x) -1, or y = 1.5x - 1

Step-by-step explanation:

To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:

y=mx+b.

For this particular line, you would write:

-8 = 3/2(-6)+b

-8 = -18/2 + b

-8 = -9 + b

add 9 to both sides to isolate the b

-1 = b.

Now that you have the answer for b (-1), you can write the equation as:

y=3/2(x) -1

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