epicgamer7676 epicgamer7676
  • 26-01-2021
  • Mathematics
contestada


A line that includes the point (0, -2) has a slope of -3. What is its equation in slope-intercept form?

Respuesta :

imtiazkalwar
imtiazkalwar imtiazkalwar
  • 27-01-2021

Answer:

[tex]y=-3x-2[/tex]

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

[tex]y=mx+b[/tex]-------- (1)

Here [tex]m=-3[/tex] and [tex](x_1, y_1)=(0, -2)[/tex]

[tex]y-y_1 = m(x-x_1) \\ y+2 = - 3(x-0) \\ y =-3x-2[/tex]----------- (2)

Comparing (1) and (2)

m=-3 and b=-2

Equation (2) is equation of straight line with slope -3 and y-intercept -2 in slope intercept form

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