In the xy -plane, point E has coordinates (4,5) and point O has coordinates (0,0) . Which of the following is an equation of the line that contains points O and E ? A. y=x−1
B. y=x+1
C. y=45x
D. y=54x

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:

Here, we know that the line passes through the points (0, 0) and (4, 5), then the slope will be:

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:

link

step-by-step explanation:

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