Question

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

Answer 1

Answer:

$\huge\boxed{y= \frac{1}{4}x+5}$

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 $y=mx+b$, 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.

• $4 = -4m + 5$
• $-1= -4m$
• $m = \frac{1}{4}$

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

$y = \frac{1}{4}x + 5$.

Hope this helped!