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Find the equation of the line through the point (−7,2) and parallel to y=2/5x−1/2

1 Answer

3 votes

Answer:

y = 2/5x + 24/5

Explanation:

A line that is parallel to y = (2/5)x - 1/2 will have the same slope as this line, which is 2/5. Therefore, the equation of the line we are looking for will be of the form:

y = (2/5)x + b

Where b is the y-intercept of the line. To find the value of b, we can use the fact that the line passes through the point (-7, 2). Substituting these coordinates into the equation, we get:

2 = (2/5)(-7) + b

Simplifying this equation, we get:

2 = -14/5 + b

b = 2 + 14/5

b = 24/5

So, the equation is y = 2/5x + 24/5

User Nazim Zeeshan
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