How do you find the equation of a line perpendicular to two lines?

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 find the equation of a line perpendicular to the Y axis?

Explanation: A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

What is the equation of the line perpendicular to the given line?

To find the equation of the line perpendicular to the given line, x + 7y = 8, you need two important pieces of information, i.e., 1.) you need to know the coordinates (x, y) of a point that the perpendicular line passes through, and 2.) the slope of the perpendicular line.

How to find the slope of a perpendicular line in slope intercept form?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2 x +5, so the slope is –2. 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 = 1/2 x + b and solving for b, we get b = 6.

What is the slope of the line y = -2x + 5?

You get y = -2 x +5, so the slope is –2. 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 = 1/2 x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½ x + 6. Rearranged, it is – x /2 + y = 6.

How do you find the equation with a slope of 2?

Since line p is perpendicular to line m, this means that the products of the slopes of p and m must be – 1: So we must choose the equation that has a slope of 2. If we rewrite the equations in point-slope form (y = mx + b), we see that the equation 2x – y = 3 could be written as y = 2x – 3.