powerglide16
powerglide16 powerglide16
  • 23-08-2021
  • Mathematics
contestada

What is the equation of a line with a y-intercept at (0, 6) and a slope of 3? y = 3x + 6 y = 6x + 3 y = 3x − 6 y = −6x − 3

Respuesta :

theleangreenbean
theleangreenbean theleangreenbean
  • 23-08-2021

Answer:

[tex]y=3x+6[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

We're given that the slope of the line is 3. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=3x+b[/tex]

We're also given the point (0,6). Since the y-intercept occurs when x=0, the y-intercept is therefore 6. Plug this into [tex]y=3x+b[/tex] as b:

[tex]y=3x+6[/tex]

I hope this helps!

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