- #1
bcm322
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Find the equation of the line through (-9, 2); perpendicular to y= -1.
Use standard form : y=mx+b
Use standard form : y=mx+b
Find the equation of the line through (-9, 2); perpendicular to y= -1
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- Thread starter bcm322
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SUMMARY
The equation of the line through the point (-9, 2) that is perpendicular to the horizontal line y = -1 is a vertical line. The slope of the line y = -1 is 0, thus the slope of the perpendicular line is undefined. The standard form of the equation for this vertical line is x = -9, as it passes through the x-coordinate of the given point. The discussion clarifies the distinction between slope-intercept form and standard form for linear equations.
PREREQUISITES- Understanding of linear equations and their forms
- Knowledge of slope and its relationship to perpendicular lines
- Familiarity with standard form of a line, Ax + By = C
- Basic graphing skills for visualizing lines
- Study the concept of perpendicular slopes in coordinate geometry
- Learn how to convert between slope-intercept form and standard form
- Explore vertical and horizontal lines in Cartesian coordinates
- Practice solving problems involving equations of lines through given points
Students learning algebra, educators teaching coordinate geometry, and anyone seeking to understand the properties of lines and their equations.
- #2
MarkFL
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MHB
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Hello, and welcome to MHB! (Wave)
What will the slope of the requested line be?
What will the slope of the requested line be?
- #3
bcm322
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That's all the information given for the homework problem.
I'm stuck on this unit
I'm stuck on this unit
- #4
Olinguito
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bcm322 said:
Did you make a typo? Perhaps you mean the line $\color{black}y=\color{red}x\color{black}-1$, or something like that?
The answer to the problem as you type it cannot be put the standard form $y=mx+b$.
- #5
MarkFL
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MHB
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Olinguito said:
Oops...I didn't catch that. Good eye! :)
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bcm322
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- #7
MarkFL
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MHB
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Okay, when we have a line of the form:
$$y=k$$
Where \(k\) is some real number, what does the graph of such a line look like?
By the way, standard form for a line is usually meant to be:
$$Ax+By=C$$
The form you cited initially is the slope-intercept form, and the line we're seeking cannot be written in that form, as noted by Olinguito.
$$y=k$$
Where \(k\) is some real number, what does the graph of such a line look like?
By the way, standard form for a line is usually meant to be:
$$Ax+By=C$$
The form you cited initially is the slope-intercept form, and the line we're seeking cannot be written in that form, as noted by Olinguito.
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