what is the slope of a line parallel to the line y=1/3x+2?

Question

please explain your answer...and how you got that answer?

Answer 1

*Keep in mind --- parallel lines have the same slope.

*Let's distinguish the slope in the equation.

*The slope is a fraction or, whole number beside the
x-variable.

*In this case, the slope is... 1/3

Answer 2

Okay. The equation of this line is y=mx+b. Your equation is y=1/3x+2, so therefore m=1/3. Now, in the equation y=mx+b, m is the variable that stands for the slope of the line. So, therefore, the slope of this line is 1/3.
Now, a line that is parallel to another line has the same slope as that other line. Therefore, since this line has a slope of 1/3, any line that is parallel to this line must have the same slope, 1/3. Therefore, the slope of a line parallel to the line y=1/3x+2 is 1/3.
There you go. I'm glad I could help.

Answer 3

Parallel lines have the same slope. Assuming your equation is y = (1/3)x + 2 and not y = 1/(3x) + 2, then the line is already in the form of y = mx + b, so the slope of this line is just 1/3.

Answer 4

Any line parallel to the line y=1/3x + 2 will have a slope exactly equal to that line. THe only thing that will differ is the y-intercept, in yoru equation the y-intercept is 2. therefore any line with slope 1/3 and with any other y-intercept will be parallel to your line wihtout being teh same as yoru line. the reason is that the line you have given has a slope of 1/3. In order for a line to be parallel, it must stay at an equal distance from that line forver, in other words it will never touch. the only slope that will never touch another line is a slope that is equal to the line's slope. IN short, the slope of any line parallel to the line y=1/3x+2 is 1/3.

Answer 5

A parallel line would have the same slope. In a y=mx+b equation the slope appears right before the X value. So it would be 1/3

Answer 6

nicely, y=a million/3x+2 is a linear equation, meaning that this equation will, if graphed, continually variety a line. Now, one equation's line is parallel to the line of yet another equation if the slope is the comparable! The slope is the quantity in the previous the x, to that end, a million/3. for this reason: y=a million/3x-7 is parallel to y=a million/3x+2. in spite of the incontrovertible fact that, y=3x+2 isn't parallel to y=a million/3x+2. those 2 will in basic terms flow the y axis of a graph on the comparable time, yet they do no longer seem to be parallel.

Answer 7

the slope is 1/3. the equation for a line is y = mx + b which is the standard equation for all lines on a graph. where m is the slope and b is the y intercept. The slope is the relationship of x as opposed to how it adjusts up y. In order words. for every 1 increase in x, y would be increase by 1/3 if you ignore the b.

Answer 8

The slopes of 2 parallel lines are equal. Since you equation is of the form y=mx+b, m is the slope of both lines. Hence slope: 1/3.

Answer 9

parallel lines have the same slope
the slope is the number in front of x, so your problem the slope is 1/3, so a parallel line is any equation with a slope of 1/3

Answer 10

The slope would be 1/3

Since parallel lines never intersect, their slopes have to be the same. They also must have different y-intercepts, so that they are not the same line. If the two lines had different slopes, they would eventually intersect.

Using systems of equations, one could prove that if two lines have the same slope and different y-int., their system would have no solutions, thus showing that they are parallel, as parallel lines do not intersect (have no common points, and therefore no solution to a 2x2 system of equations that involves them.

Answer 11

for a line of form
y = mx + c
m is the slope or gradient
c is the intercept
For two lines to be parallel their slopes must be equal
so a line parallel will have slope m or 1/3 in this case