How to use Algebra to find parallel and perpendicular lines. How do we know when two lines are parallel? Their slopes are the same!

What Is Parallel Lines Formula? For any two lines with equations \ (y = m_1x+ c_1\) and \ (y = m_2x + c_2\), the formula to know that the lines are parallel is: \ (m_1 = m_2\) where, m 1 and …

Mar 26, 2025 · Parallel Lines Two lines are parallel if they have the same slope but different y-intercepts. Mathematically, if two lines are parallel, then m 1 = m 2, here m 1 and m 2 are the …

Jul 23, 2025 · In the parallel line's equation, the slope of the lines is always the same. The equation for a straight line is in slope-intercept form, that is, y = mx + c, where m is the slope.

In this tutorial, you will learn how to construct a line that is either parallel or perpendicular to a given reference line and passing through a fixed point. To be successful in solving this kind of …

Dec 9, 2025 · Today we are going to take a look at how to find the equation of a line that passes through a given point and is parallel to another line. Let’s start with an example. Find the …

Find the slope-intercept form of the equation of a line that is parallel to the graphed line and that passes through the point plotted on the graph. Show Step-by-step Solutions

For example, given the line y = 2x + 5, we know that any line with a slope of 2, that does not have a y-intercept of 5, will be parallel to the given line. Thus, the general equation for a line parallel …

First, use the point-slope form to convert the details you were given into a slope-intercept equation. Then, change the y-intercept to get a line parallel to the original. Finally, stop …

Find the equation of the line parallel to 𝑦 = 5𝑥 + 7 that passes through (0, 4). The gradient of the line 𝑦 = 5𝑥 + 7 is the coefficient of 𝑥, which is 5. Any parallel line must have...