How do you write an equation for a perpendicular line?

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

How do you write two lines are perpendicular?

Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .

How do you find the equation of perpendicular lines?

Perpendicular Line Formula. Perpendicular line is a straight line through a point. It makes an angle of 90 degree with a particular point through which the line passes. Coordinates and line equation is the prerequisite to find out the perpendicular line. Consider the equation of the line is ax + by + c = 0 and coordinates are ( x1, y1 ),…

What is writing linear equations given two points?

Let’s quickly review the steps for writing an equation given two points: Find the slope using the slope formula. Find the y-intercept by substituting the slope and the coordinates of 1 point into the slope intercept formula, y = mx + b. Write the equation using the slope and y-intercept.

How do you write perpendicular line?

Perpendicular Lines. Write the equation for the first line and identify the slope and y-intercept, as with the parallel lines. Example: y = 4x + 3 m = slope = 4 b = y-intercept = 3. Transform for the “x” and “y” variable. The angle of rotation is 90 degrees because a perpendicular line intersects the original line at 90 degrees.

How do you write linear equation given two points?

To write a linear equation given two points, you start by subtracting the x coordinate of one point from the x coordinate of the second point (the order in which point you subtract from what does not matter). The you subtract the y coordinate of the first point from the y coordinate of the second point. For example: