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The points with coordinates (0, 3) and (8, 5) lie on the straight line L. Write down an equation of L.

User Ahreum
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1 Answer

2 votes

Answer:

y = (1/4)*x + 3

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

User George Zhou
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