Question

Find the equation of the line shown

Answer 1

Answer:

$y=-\frac{1}{4}x+2$

Step-by-step explanation:

We will use the point slope formula: $y=mx+b$

We will start by finding the slope($m$).
The formula for slope is

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So if we just choose 2 random points on the line:

I choose (0,2) and (4,1), we get:

$\frac{1-2}{4-0} = \frac{-1}{4}$

That's our slope.

Next we need to find the y-intercept($b$). We can find that by looking at the graph. It is where x=0. So in this case y=2 when x=0.

So in point-slope form the equation is:

$y=-\frac{1}{4}x+2$