# Math

Line L is perpendicular to the line 6x - y = 7 and passes through the point (0,6). Line M is parallel to the line y = 2/3x - 4 and passes through the point (-3, -1). Where do lines L and M intersect?

1. 👍
2. 👎
3. 👁
1. L ... point-slope ... (y - 6) = -1/6 x
... slope-intercept ... y = -1/6 x + 6

M ... point-slope ... (y + 1) = 2/3 (x + 3)
... slope-intercept ... y = 2/3 x + 1

substitute to find x ... 5 = 5/6 x

substitute back to find y

1. 👍
2. 👎
2. I believe the best way to solve these kind of questions are to always remember m=rise/run

1. 👍
2. 👎

## Similar Questions

1. ### geometry

Use the equation and given point to answer the questions below. The equation of line a is y=12x−1, and it passes through point (6,2). Line b is perpendicular to line a, and it passes through point (−6,2). A: What is the slope

2. ### math

Write an equation of a line perpendicular to line AB below in slope-intercept form that passes through the point (7, 6). A (0,1) B (-2,5)

3. ### math

Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4. y = 4 x = 5 y = 7 x = 7 pls help

4. ### Geometry

Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Hint draw a DIAGRAM with the points labeled. Can

1. ### Algebra

Line n passes through points (7, 12) and (4, 15). What is the slope of a line that is perpendicular to line n?

2. ### Math Ms Sue please help me

select the equation of the line passes through the point (2,6) and is perpendicular to the line x=4. Answers y=4 y=6 x=6 x=2

3. ### Math

Through a given point on a line, there is one and only one line perpendicular to the given line. The hints that it gave was "Do not limit your thinking to just two dimensions". If it just a regular line there will only be one

4. ### Math

1. For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. X: 16, 32, 48 Y: 4, 16, 36 2. Write an equation for the line that is parallel to the given line and passes through

1. ### math

For 1-10, determine whether the lines are parallel, perpendicular or neither. One line passes through the points (-1, 4) and (2, 6); another line passes through the points (2, -3) and (8, 1). One line passes through the points (4,

2. ### Analytic Geometry

A line Q has an equation of x+5y+5=0. Find the equation of the line that is "perpendicular" to Q an passes through (3,1). Find the equation of the line that is "parallel" to Q and passes to through (3,1). Find the equation of the

3. ### Math

1. Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. Y=-3/4x-2 A. Parallel B. Perpendicular* C. Neither 2. Write the equation of a line that is perpendicular to the given line and that

4. ### Geometry Multiple Choice Question Please Help!

Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. {THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12.