What is the slope if a line parallel to y=3x+4?

Answer 1

Parallel lines have the same slope. The equation of a line is typically written as y = mx + b where m is the slope and b is the y-intercept. You have the equation y = 3x + 4 where the slope, m, is 3. Therefore, the parallel line will also have this slope.

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Answer 2

The slope would be 3. All lines that are parallel have the same slope, and lines that are perpendicular have slopes that are negative reciprocals. The slopes are the same because slope represents rise/run on a graph, so for two lines to be parallel and never cross, the two lines must go in the same directions. Therefore, two lines with a slope of 3 or 3/1, meaning to go up 3 and to the right 1, would go in the same directions and never cross.