s1716925 s1716925
  • 26-05-2020
  • Mathematics
contestada

Find the y-intercept of a line that passes through (−2, 6) and has a slope of –5.

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acesphrases acesphrases
  • 26-05-2020

Answer:

Your y-intercept is -4.

Step-by-step explanation:

You should start by finding the equation of this line.

You can do this using point-slope form, which is

[tex]y-y_1=m(x-x_1)[/tex]       so that

[tex]y-6=-5(x-(-2))[/tex]    Simplify

[tex]y-6=-5x-10[/tex]          Put into the form y=mx+b

[tex]y=-5x-4[/tex]

b is your y intercept, so the y intercept is -4.

You can check this by inputting zero for x, since the line will cross the y axis when x is zero.

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