What is the slope of a line parallel to 2?

Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=2 have the same slope of 0 .

What is the equation of 2 parallel lines?

The distance between two parallel lines is given by |c1-c2|/√(a2+b2). Here, the equations of parallel lines are y = 2x + 7 and y = 2x + 5. Slopes are same m1 = m2 = 2 and c1 = 7 ,c2 = 5. Example 3: Calculate the distance between the parallel lines 3x+4y+7=0 and 3x+4y−5=0 .

How do you find the slope of a parallel line?

Explanation: First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. The slope of the line is -3/8. A parallel line will have the same slope, thus -3/8 is the correct answer.

When two lines are parallel the distance between them is?

always equal
So when two lines are parallel, the distance between them is always equal.

What is the slope of a line parallel to a line with a slope of 2 3?

Explanation: Two parallel lines have the same slope, so, the slope of the parallel line is also −23.

What does it mean if two lines have the same slope?

Theorem 104: If two lines have the same slope, then the lines are nonvertical parallel lines. If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Also, the absolute values of their slopes are reciprocals.

How do you know if two lines are parallel to each other?

Therefore, if the slopes of two lines on the Cartesian plane are equal, then the lines are parallel to each other. Thus, if two lines are parallel then, m1 m 1 = m2 m 2. Generalizing this for n lines, they are parallel only when the slopes of all the lines are equal.

What are the equations of parallel lines?

Here, the equations of parallel lines are y = 2x + 7 and y = 2x + 5. Slopes are same m 1 = m 2 = 2 and c 1 = 7 ,c 2 = 5. Example 3: Calculate the distance between the parallel lines 3x+4y+7=0 and 3x+4y−5=0 .

How to find the angle between two lines with different slopes?

When two lines intersect at a point then the angle between them can be expressed in terms of their slopes and is given by the following formula: tan θ = | m2 − m1 1 + m1 m2 m 2 − m 1 1 + m 1 m 2 |, where m1 and m2 m 1 a n d m 2 are the slopes of the line AB and CD respectively.

How to find parallel lines with different slope intercepts?

We first need to write each line in slope intercept form y = m x + b and find its slope m. The lines with equal slopes are the lines given in parts a) b) and d) and they are therefore parallel. Find k so that the lines with equations 6 k x – 3 y = 9 and – 4 x + 5 y = 7 are parallel.