jdkeenan25 jdkeenan25
  • 26-08-2020
  • Mathematics
contestada

What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?

Respuesta :

Stephen46
Stephen46 Stephen46
  • 31-08-2020

Answer:

The answer is

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

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

[tex]y - y_{1} = m(x - x _{1})[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (0 , 3) and slope is - 6

Substitute the values into the above formula and solve

That's

[tex]y - 3 = - 6(x - 0) \\ y - 3 = - 6x[/tex]

We have the final answer as

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

Hope this helps you

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