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Write an equation of a line that passes through (3,0) and is parallel to line y=2x+5

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7 votes

Answer:


y = 2x - 6

Explanation:

Parallel lines have EQUAL SLOPES.

The equation of a line is given as:

y = mx + b

Where

m is the slope, and

b is the y intercept (y-axis cutting point)

Since, y = 2x + 5 has a slope of 2, the line parallel will also have slope of 2.

So that line will have equation of:

y = 2x + b

To find b, we need a point that this line passes through. It is given

(3,0)

Where

x = 3

y = 0

We substitute and find b:

y = 2x + b

0 = 2(3) + b

0 = 6 + b

b = -6

So, the equation of the line is:

y = 2x - 6

User Matt Beckman
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