Parallel Lines - Math

By definition, two lines are parallel if they have the same slope. Notice that since we are given the lines in the format, and our slope is given by , it is clear that the slopes are not the same in this case, and thus the lines are not parallel.

For one equation to be parallel to another, the only requirement is that they must have the same slope. In order to figure out which answer choice is parallel to the given equation, you must first find the slope of the equation:

From the simplified equation, you can see that the slope is .

The answer choice that has the same slope is .

Parallel lines have the same slope. In slope-intercept form, , is the slope.

Here the slope is ; thus, any line that is parallel to the line in question will also have a slope of .

Only one answer choice satisfies this requirement:

Note: the answer choice is incorrect. If put into form, the equation becomes . Therefore the slope is actually , not .

Two lines that are parallel have the same slope. The slope of is , so we want another line with a slope of . The only other line with a slope of is .

Lines are parallel if they have the same slope. In standard form, is the slope.

For our given equation, the slope is . Only has the same slope.

Lines are parallel if they have the same slope. In standard form, is the slope.

For our given equation, the slope is . Only has the same slope.

The given line can be rewritten as , which has slope .

If the new line is parallel to the old line, it must have the same slope. So we use the point-slope form of an equation to calculate the new intercept.

becomes where .

So the equation of the parallel line is .

Parallel lines share the same slope. Because the slope of the original line is , the correct answer must have that slope, so the correct answer is

Since parallel lines share the same slope, the only answer that works is

In order for two lines to be parallel, they must have the same slope. The slope of the given line is , so we know that the line going through the given point also has to have a slope of . Using the point-slope formula,

,

where represents the slope and and represent the given points, plug in the points given and simplify into standard form:

Use the slope formula (difference between 's over difference between 's) to find that the slope is .

Parallel lines have the same slopes. The slope for the given equation is . We can use the slope and the new point in the slope intercept equation to solve for the intercept:

Therefore the new equation becomes:

Parallel lines have the same slope. The slope of the given line is .

Find the line with slope through the point by plugging this informatuon into the slope intercept equation, :

, which gives .

Solve for by subtracting from both sides to get .

Then the parallel line equation becomes , and converting to standard form gives .

The way to determine parallel lines is to look at the slope. That means when you look at the equation in slope-intercept form, , you're looking at the .

In the given problem, the slope is . Parallel lines will have identical slopes; thus, any line that is parallel to the line described by the equation would ALSO have a slope of . Only one answer choice satisfies that requirement:

.

Two lines are parallel if they have the same slope. When looking at the standard line equation , the important thing is that the 's are the same. In this case, the given equation has a slope of . Only one answer choice also has a slope of .

The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the variable.

The slope in the given equation is 4, so a parallel line would also have a slope of 4. The only answer with this slope is

The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the variable.

The slope in the given equation is , so a parallel line would also have a slope of . The only answer with this slope is

The definition of parallel lines tells us that if two lines are parallel, they have the same slope. Since these lines are described in the slope-intercept form, we know that the slope of these lines are given by the coefficient of the variable.

The slope in the given equation is 3, so a parallel line would also have a slope of 3. The only answer with this slope is

Two lines that are parallel have the same slope. The line given above is in slope-intercept form, , where represents the slope. Thus, the slope is . Therefore, any line that is parallel to this line will also have a slope of