snicholes46 snicholes46
  • 22-03-2018
  • Mathematics
contestada

Write the slope-intercept form of the equation of the line through the given points. (0,3) and (-4 -1)

Respuesta :

gmany
gmany gmany
  • 06-02-2019

Answer:

y = x + 3

Step-by-step explanation:

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-4, -1) and (0, 3) → b = 3.

Calculate the slope:

[tex]m=\dfrac{3-(-1)}{0-(-4)}=\dfrac{4}{4}=1[/tex]

Therefore we have the equation:

y = 1x + 3

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