The equation of the line that passes through (0, 0) and (4, 5) is:
y = (5/4)*x.
A general line can be written as:
y = a*x + b
where a is the slope, and b is the y-intercept.
If we know that the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here, we know that the line passes through the points (0, 0) and (4, 5), then the slope will be:
[tex]a = \frac{5 - 0}{4 - 0} = 5/4[/tex]
then we have:
y = (5/4)*x + b
To find the value of b, notice that the line passes through the point (0, 0), this means that when x = 0, we also have y = 0, replacing these we get:
0 = (5/4)*0 + b
0 = b
Then the equation of the line is:
y = (5/4)*x
The correct option is D.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/24349950
