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 2x 5y =- 40?

Reorder −8 – 8 and 2×5 2 x 5 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 25 .

Which equation represents a line which is perpendicular to the line y − 4 x − 5?

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x−5 y = 4 x – 5 must have a slope that is the negative reciprocal of the original slope.

Which equation represents a line that is perpendicular to Y?

To solve for a line perpendicular to y we need a line whose slope is equal to the negative reciprocal of slope m. yperpendicular = -1/m*x + d.

What is the equation of a line perpendicular to ax by C?

Prove that the equation of a line perpendicular to a given line ax + by + c = 0 is bx – ay + λ = 0, where λ is a constant.

What is the equation of the line that is perpendicular to the given line and passes through the point 2 6 )?

m=0. Thus y=0x+4. Perpendicular lines have opposite reciprocal slopes and you would like it to pass through the point (2,6). Thus when you flip it, x=6.

What is an equation of a line that is perpendicular to the line whose equation is 2y plus 3x equals one?

The equation 2y=3x-1 is the same as y=(3/2)x+(-1/2). Hence, slope of given line is 3/2. Product of slopes of two perpendicular lines is -1.

Which equation represents a line which is perpendicular to x 0?

The perpendicular to the y-axis is parallel to the x-axis. In this case y1=y2→0x2−x1=0 which is defined. So the slope (gradient) perpendicular to x=0 is 0.

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) .

Which line is perpendicular?

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

What is the equation perpendicular to ax by c 0?

What is the slope of a line that is perpendicular to ax by C?

(1) Finding the slope of ax+by+c=0 which can be obtained by the expression –a/b. i.e. slope of ax+by+c=0 is a/b. (2) Finding the slope of the line perpendicular to it. i.e. the slope of the perpendicular line, m = b/a.