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Strike441 [17]
2 years ago
10

Write an equation in slope-intercept form for the line parallel to y=3x-2 that passes through the point (5,-2)

Mathematics
1 answer:
Aneli [31]2 years ago
6 0

Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope.

The slope of the given line, y = 3x - 2 is 3.

The equation we are looking for is of the form

y = mx + b

Since we know the slope, m, is 3, we have

y = 3x + b

To find the value of b, we substitute x and y with the values from the given point and solve for b.

-2 = 3(5) + b

b = -17

The equation is

y = 3x - 17

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