What is the equation if two lines are parallel?

Remember, when two lines are parallel to each other, they will have the exact same slope. Using the equation y = mx + b where m is the slope of the line, you can identify and compare the slopes of two lines. In our example, the first line has an equation of y = 3x + 5, therefore it’s slope is 3.

Do parallel lines have the same equation of the line?

Explanation: Parallel lines have the same slope and differing y-intercepts. Since \displaystyle y = 9x + 5 is the only equation with the same slope, and the y-intercept is different, this is the equation of the parallel line.

What happens when two lines have the same Y intercept?

Explanation: If two lines have different slopes, they cannot be the same line. However, if they share a y-intercept, that means they cross the y -axis at the same y value. If they share an x value and corresponding y value, they intersect at that point, in this case their y-intercept.

Do parallel lines have the same intercept?

Parallel lines have the same slope and different y-intercepts. Lines that are parallel to each other will never intersect.

How do you find the equation of a line parallel to another?

So, to find an equation of a line that is parallel to another, you have to make sure both equations have the same slope. In the general equation of a line y = mx + b , the m represents your slope value. With b and c being any constants.

What makes a line parallel to another line?

Key Questions. Parallel lines are lines that never intersect. Because of this, a pair of parallel lines have to have the same slope, but different intercepts (if they had the same intercepts, they would be identical lines). So, to find an equation of a line that is parallel to another, you have to make sure both equations have the same slope.

How do you prove two lines are parallel in standard form?

Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3. Let’s look at the line 2x + 3y = 4.

How do you find the slope of a parallel line?

To determine whether or not these lines are parallel, we need to find their slopes. It helps to remember that the slope of a line in the standard form Ax + By = C is equal to -A/B. (Alternatively, you can solve for the slopes by rearranging both lines to slope-intercept form).