Question

In: Math

Find an equation of the line satisfying the given conditions. Through (6,4); perpendicular to 9x+4y=70

Find an equation of the line satisfying the given conditions.

Through (6,4); perpendicular to 9x+4y=70

Solutions

Expert Solution

For two perpendicular lines the product of their slope will be -1.

In the line write the equation in the form where m is the slope of the line.

on comparing this equation with standard equation we get slope

Therefore slope of other line m₂ , we know

it is given that it passes through point (6,4) So it should satisfy in the line equation.

the equation of second line becomes

giving point , and

we get y intercept ,

so we can write line equation as ,

or or

milcah answered 1 month ago

Next > < Previous

Related Solutions

1. Find an equation of the line that satisfies the given conditions. Through (1/2, -2/3); perpendicular...

1. Find an equation of the line that satisfies the given conditions. Through (1/2, -2/3); perpendicular to the line 6x - 12y = 1 2. Find the slope and y-intercept of the line. Draw its graph. 4x + 5y = 10 3. Find the x- and y-intercepts of the line. Draw its graph. 5x + 3y − 15 = 0 4. The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. y = 4x +...

Find the equation of the line through the point P = (0,2,−1) that is perpendicular to...

Find the equation of the line through the point P = (0,2,−1) that is perpendicular to both ⃗v = 〈3,0,1〉 and ⃗w = 〈1,−1,2〉. v and w are vectors by the way

1. Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci...

1. Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (-5,0) and (5,0); vertices at (1,0) and (-1,0). 2. Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,-8) and (0,8); vertices at (0,2) and (0,-2).

Find the equation of the line goes through (1,0,-1) that is perpendicular to the lines x...

Find the equation of the line goes through (1,0,-1) that is perpendicular to the lines x = 3+2t,y = 3t,z = −4t and x = t,y = t,z = −t. Write it in parametric and the vector equation form.

Write an equation in slope-intercept form of the line that satisfies the given conditions . Through...

Write an equation in slope-intercept form of the line that satisfies the given conditions . Through (-2,-2); parrallel to -x + 2y = 10

A) Find the equation of the plane that passes through (2, -1,3) and is perpendicular to...

A) Find the equation of the plane that passes through (2, -1,3) and is perpendicular to the line x = 2-3t, y = 3 + t, z = 5t B) Find the equation where the planes 2x-3y + z = 5 and x + y-z = 2 intersect. C) Find the distance from the point (2,3,1) to the x + y-z = 2 plane. D) Find the angle between the planes x + y + z = 1 and x-2y...

(a) Find parametric equations for the line through (3, 4, 8) that is perpendicular to the...

(a) Find parametric equations for the line through (3, 4, 8) that is perpendicular to the plane x − y + 4z = 5. (Use the parameter t.) (x(t), y(t), z(t)) = (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = yz-plane (x, y, z) = xz-plane (x, y, z) =

question 11 a, b, and c a. Find the equation of the hyperbola satisfying the given...

question 11 a, b, and c a. Find the equation of the hyperbola satisfying the given conditions. Vertices at (-12, 0) and (12, 0); focus at (3squareroot 17, 0) b. Determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inverse f(x)=6x-3/6x+3 c. Solve. How long will it take for $1600 to grow to $14,000 at an interest rate of 3.7% if the interest is compounded continuously? Round the number of years to the...

6) a). Find the equation of the plane through the origin and perpendicular to x+y+z =...

6) a). Find the equation of the plane through the origin and perpendicular to x+y+z = 5 and 2x+y−2z = 7 b). Let A = (−1,3,0), B = (3,2,4) and C = (1,−1,5). ( I ) Find an equation for the plane that passes through these three points. ( II ) Find the area of the triangle determined by these three points.

Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to...

Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to the line x = 2 + t, y = 2 − t, z = 2t and intersects this line. (Use the parameter t.) (x(t), y(t), z(t)) =

Subjects