How do you find the equation of a line perpendicular to a 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.

What is the slope of the line parallel to this equation 2x y 7 *?

Using the slope-intercept form, the slope is 2 2 . All lines that are parallel to y=2x+7 y = 2 x + 7 have the same slope of 2 .

What is the slope of any line perpendicular to the line 2x 3y 7?

Reorder 73 7 3 and 2×3 2 x 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .

What equation is parallel to 2x 7?

2 Answers. Y= 2X+8 will be correct answer. Compare the given line with y=mx+c will give the slope of parallel line as 2. Equation of new line in point slope form is y-y1 = m(x-x1).

What is the slope of a line perpendicular to the line whose equation y =- 7?

Slope of the perpendicular line is 1/2. A way to check your answer is that the product of the two slopes is always -1.

Which equation represents a line which is 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.

Which equation represents a line which is perpendicular to the line y =- 3x 4?

Two perpendicular lines have opposite reciprocal slopes. The slope in y=3x+4 is 3 , so the line perpendicular to it will have a slope of −13 . We can write this in the form y=−13x+b and then plug in (3,5) for x and y to find the equation of the line perpendicular to the line y=3x+4 that goes through the point (3,5) .

How do you find the equation of 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 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.

What is the definition of a perpendicular line?

The definition of a perpendicular line is one that has a negative, reciprocal slope to another. For this particular problem, we must first manipulate our initial equation into a more easily recognizable and useful form: slope-intercept form or. According to our formula, our slope for the original line is.