13briannatorres 13briannatorres
  • 03-04-2019
  • Mathematics
contestada

write one way or representing the equation of the given line in point-slope form. then write the equation in slope-intercept form. (0,-3) (7,4)

Respuesta :

gmany
gmany gmany
  • 06-04-2019

Answer:

y = x - 3

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[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 (7, 4) and (0, -3) → b = -3.

Substitute to the formula of a slope:

[tex]m=\dfrac{-3-4}{0-7}=\dfrac{-7}{-7}=1[/tex]

Finally we have the equation:

[tex]y=1x-3[/tex]

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