Line parallel to y axis

Asked by maham237 @ 12/02/2021 in Mathematics viewed by 342 People

PLEASE SOLVE 20 POINTS
Write the equation of line in slope-intercept form. Line parallel to the y-axis that passes through the point (77,88)

Find the equation of the line which is perpendicular to the line y= − 1/3 x+6 through the point (2,4).

Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (−1, 4), (−1, −3)

Answered by maham237 @ 12/02/2021

Answer:

1. Not possible. The slope of such a line is undefined. Its equation is x=7.

2. y = 3x -2

3. The slope is undefined. (The line is a vertical line.)

Step-by-step explanation:

1. The y-axis is a vertical line. Computing the slope of such a line involves division by zero, an operation that is undefined. Since the line is parallel to the y-axis, there is no y-intercept.

In slope-intercept form, the equation would be useless:

... y = (undefined)x + (no such value)

If your point is supposed to be (7, 8)*, the more useful equation is the "standard form" equation:

... x = 7

2. The slope of the perpendicular line is the negative reciprocal of this:

... m = -1/(-1/3) = 3

In point-slope form, the equation of the perpendicular line through the given point is ...

... y = 3(x -2) +4

... y = 3x -2 . . . . . . . . simplified to slope-intercept form

3. The slope is computed from ...

... m = (change in y)/(change in x) = (-3 -4)/(-1 -(-1)) = -7/0 = undefined

The slope is undefined. This tells you the line is a vertical line. Its location is the x-value of the points, ...

... x = -1

_____

* If your point is really (77, 88), then the line has equation x = 77.

Line parallel to y axis

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