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

User Stamanuel
by
8.3k points

1 Answer

5 votes

Answer:

y=
(-1)/(4)x+3

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=
(2-3)/(4-0) --> m=
(-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=
(-1)/(4)(4)+b

2=-1+b

3= b

Therefore, the equation we get is:

y= -
(-1)/(4)x+3

User Heroic
by
8.3k points

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