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Answer:

equation of the line:  y = 3x -4

Step-by-step explanation:

y = 3x - 6

the formula of equation: y = mx + b ......where m is slope and b is y intercept

Here the slope is 3.

......................................................................................................identification done

then given it is parallel so we know:

  • parallel has same slope, m
  • perpendicular has ( -1 ÷ m) slope, where m is the slope.

.........................................................................................................slope type found

then given passes coordinate (3,5)

so using the equation: y - y1 = m ( x - x1 )

                                    : y - 5 = 3 ( x - 3 )

                                    : y - 5 = 3x - 9

                                    : y = 3x - 9 + 5

                                    : y = 3x -4

for more slope questions: https://brainly.com/question/4193335

Answer:

  • y = 3x - 4

Step-by-step explanation:

We know that:

  • Given point: (3,5)
  • Parallel line: y = 3x - 6

Let's create a graph. In the graph, let's label the point given and the parallel line. Now, we know that the slope must be the same because if two lines are parallel on a graph, they will have same slopes. Their y-intercepts will be different. Now, I have used the trial-and-error method, to see which y-intercept does the line intersects the point. I found out that the y-intercept is -4 according to the graph.

Hence, the equation of the original line is y = 3x - 4.

Hoped this helped!

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