Question

Write the equation in y=(your answer) y is the y axis in coordinate plane.

Answer 1

Answer:

y = 4

Step-by-step explanation:

Given the equation of the line, y = 6, passing through point (3, 4):

By definition, parallel lines have the same slope.

The linear equation, y = 6 is a horizontal line with a zero slope. Therefore, the parallel line must also have the same slope = 0.

Plug the given values from the point (3, 4) into the slope-intercept form:

y = mx + b

where:  y = 4, m = 0, and x = 3. We need to solve for the y-intercept, b:

y = mx + b

4 = 0(3) + b

4 = 0 + b

4 = b  

Therefore, the y-intercept is (0, 4).

For horizontal lines, the y-coordinate = 4 stays the same, while having different x-coordinates.

Therefore, the equation that is parallel to y = 6 is y = 4.

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