Question

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

I need Help please

Answer 1

`\huge\boxed{y= (1)/(4)x+5}`

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
`y=mx+b`, where m is the slope and b is the y-intercept.

We know the y-intercept, which is 5, so our equation is currently
`y=mx+5`.

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

• 
  `4 = -4m + 5`
• 
  `-1= -4m`
• 
  `m = (1)/(4)`

This means that the slope of our line is
`(1)/(4)`. Plugging that into our equation as m makes the final equation

`y = (1)/(4)x + 5`.

Hope this helped!