Question

Write an equation of the line that passes through (0,3) and (4,2).

Answer 1

Answer:

y= $\frac{-1}{4}$x+3

Step-by-step explanation:

To write an equation for a line, we will first need to find the slope of the graph. This can be done by using the slope formula:

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

Now, we can plug these points in this equation.

m= $\frac{2-3}{4-0}$ --> m= $\frac{-1}{4}$ .

Since we have derived the slope, we can simply use one of the points listed to solve for our other values by plugging them into the line formula:

y= mx+b

------------

2= $\frac{-1}{4}$(4)+b

2=-1+b

3= b

Therefore, the equation we get is:

y= -$\frac{-1}{4}$x+3