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Write an equation of a line that has a y-intercept of 5 and passes through the point (-4,4)
I need Help please

Sagot :

thepingu

Answer:

[tex]\huge\boxed{y= \frac{1}{4}x+5}[/tex]

Step-by-step explanation:

In order to find the equation to this line, we have to note that with an incomplete equation, we can substitute in a point on the graph to find an unknown value.

The equation of a line is most commonly written in slope-intercept form, making it [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

We know the y-intercept, which is 5, so our equation is currently [tex]y=mx+5[/tex].

We also know that the point (-4, 4) lies on this line. Therefore, we can plug it into our formula.

  • [tex]4 = -4m + 5[/tex]
  • [tex]-1= -4m[/tex]
  • [tex]m = \frac{1}{4}[/tex]

This means that the slope of our line is [tex]\frac{1}{4}[/tex]. Plugging that into our equation as m makes the final equation

[tex]y = \frac{1}{4}x + 5[/tex].

Hope this helped!

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