- #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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In summary, the conversation is discussing finding the equation of a line that is perpendicular to y=-1 and passes through the point (-9,2). The standard form of a line is mentioned and a typo is pointed out. The conversation also briefly touches on the graph of a line in the form y=k and the difference between standard form and slope-intercept form.
- #2
MarkFL
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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 $y=mx+b$.
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MarkFL
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Olinguito said:
Oops...I didn't catch that. Good eye! :)
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bcm322
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MarkFL
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Okay, when we have a line of the form:
\(\displaystyle y=k\)
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:
\(\displaystyle Ax+By=C\)
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.
\(\displaystyle y=k\)
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:
\(\displaystyle Ax+By=C\)
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.
FAQ: Find the equation of the line through (-9, 2); perpendicular to y= -1
What is the formula for finding the equation of a line?
The formula for finding the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.
How do I find the slope of a line?
The slope of a line can be found by using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.
What is a perpendicular line?
A perpendicular line is a line that intersects another line at a 90-degree angle. This means that the slopes of the two lines are negative reciprocals of each other.
How do I find the equation of a line perpendicular to a given line?
To find the equation of a line perpendicular to a given line, you can use the formula y = -1/mx + b, where m is the slope of the given line and b is the y-intercept of the new line.
Can you provide an example of finding the equation of a line perpendicular to a given line?
Yes, for example, if the given line is y = -2x + 3, the slope is -2. And to find the equation of a line perpendicular to this, we would use the formula y = -1/-2x + b, which simplifies to y = 1/2x + b. Then, using the coordinates (-9, 2), we can plug in the values to find the y-intercept (b) and obtain the equation y = 1/2x + 5/2.