Answer:
y = (1/4)*x + 3
Step-by-step explanation:
A linear equation can be written as:
y = a*x + b
Where a is the slope, and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
In this case, we know that the line passes through the points (0, 3) and (8, 5)
Then the slope will be:
a = (5 - 3)/(8 - 0) = 2/8 = 1/4
Then this line is something like:
y = (1/4)*x + b
Now we want to find the value of b.
Here we can use one of the two points that we know, for example, I will use the point (0, 3), this means that when x = 0, we must have y = 3.
If we replace those two values in the line equation, we get:
3 = (1/4)*0 + b
3 = b
Then the equation for the line L is:
y = (1/4)*x + 3
