The graphs of and  are parallel lines. What is the value of  ?

The correct answer is: m = -1/3

• We have given two equation of parallel lines.
• We have to fond value of m.

Step 1 of 1:
We have given two equations of parallel lines

3x + 9y = 15
y = mx - 4
We know that the slope two parallel lines are equal.
So,

 

When two lines have distinct y-intercepts but the same slope, they are said to be parallel. They are perpendicular if the slopes of two lines are negative reciprocals of one another.
Parallel-Line: Two or more lines present in the same plane but never crossing each other are said to be parallel lines. They don't have anything in common.
Perpendicular-Line: Perpendicular lines are two lines that meet at an intersection point, which form 4 right angles.
Slope: The slope of a line indicates how sharp it is and is calculated by dividing the distance that a point on the line must travel horizontally and vertically to reach another point. Y-Intercept: Y-Intercept is the point at which the graph crosses the y-axis. From the Given Equation, the parallel lines can be written as 3x-9y=15 and y=mx-4. If the corresponding angles are equal, the two lines are considered parallel.