What is the equation of the line passing through (2, –2) and perpendicular to the line y = –x + 3 in slope-intercept form?
y = x
y = –x
y = x – 4
y = x + 4
Could you help me solve this multiple choice question? I think its the first or second choice but I'm not sure. Thanks in advance to anyone who answers, I really appreciate it (:
y = x
y = –x
y = x – 4
y = x + 4
Could you help me solve this multiple choice question? I think its the first or second choice but I'm not sure. Thanks in advance to anyone who answers, I really appreciate it (:
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Clearly it can't be "y=x" like the other comment says, because that would mean the point would be (2, 2), and it's obviously not.
The correct way to do it is as follows:
You know the line you want to find is perpendicular to y=-x+3, which means it will have the same slope of (-1)
So, plug this slope and the given point into your slope-intercept formula and find the y-intercept (which is "b"):
y = mx + b
y = -x + b
-2 = -2 + b
0 = b
Thus the equation for this line is:
y = -x + 0
or
y = -x
The correct way to do it is as follows:
You know the line you want to find is perpendicular to y=-x+3, which means it will have the same slope of (-1)
So, plug this slope and the given point into your slope-intercept formula and find the y-intercept (which is "b"):
y = mx + b
y = -x + b
-2 = -2 + b
0 = b
Thus the equation for this line is:
y = -x + 0
or
y = -x
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Ok,let's figure out the gradient first: the gradient of y= -x +3 is -1 (its in mx + c form). A line perpendicular to that would have a gradient of one. Then we can use point-gradient formula:
y-y1 = m(x-x1)
y - -2 = x - 2
y = x - 4
So its the third option.
If you draw it, a line with a slope of 1 passing through (2, -2) is going to meet the y axis at -4, so this makes sense.
Gradient means the slope, by the way.
y-y1 = m(x-x1)
y - -2 = x - 2
y = x - 4
So its the third option.
If you draw it, a line with a slope of 1 passing through (2, -2) is going to meet the y axis at -4, so this makes sense.
Gradient means the slope, by the way.
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y=x
like a boss
like a boss