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2. Which of these equations represents a line that passes through (5,5) and is parallel to

the graph of the equation y=-3 x-5?

User Techayu
by
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2 Answers

3 votes

Final answer:

The equation of a line that is parallel to y = -3x - 5 and passes through (5,5) is y = -3x + 20.

Step-by-step explanation:

To find the equation of a line that is parallel to the line with the equation y = -3x - 5 and passes through the point (5,5), we need to use the fact that parallel lines have the same slope. The given line has a slope of -3, so our new line will also have a slope of -3.

Using the point-slope form of a line's equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, we substitute the slope and the given point to find our equation.

Therefore, the equation of the line parallel to y = -3x - 5 and passing through (5,5) is y - 5 = -3(x - 5). Simplifying this equation by distributing the -3 and moving the 5 to the other side, we get y = -3x + 15 + 5, which simplifies to y = -3x + 20.

User Syed Arsalan Kazmi
by
7.8k points
3 votes

Answer:

7= -3x-4

Step-by-step explanation:

User Fefe
by
7.7k points

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