Which is the equation for the line perpendicular to y = -5/3x + 11 1/3 and containing P(-2,3) ?
a) y - 2 = -3/5(x - 3)
b) y = -5/3x + 4 1/3
c) y = -3/5x + 4 1/5***
d) y = 3/5x + 4 1/5
SOMEONE PLS CHECK MY ANSWER :)
I NEED HELP ASAP
the slope of the new equation must be the negative reciprocal of the slope
of the old one
slope of old = -5/3
slope of new = 5/3
The only choice you give that has a slope of 5/3 is the last one, so you know
for sure that the first 3 cannot be it.
All you have to do is make sure the given point satisfies the last equation,
since there is a possibility that none are correct.
So do that to make sure.
I did it and it looks like it worked. Can you check this one?
Which pair of slopes represents perpendicular lines?
a) 1/7, 7
b) 1/2, 2/4
c) -3/4, 4/3***
d) 1/3, 1/3
correct
To find the equation of a line perpendicular to a given line, you need to determine the negative reciprocal of the slope of the given line.
In this case, the given line is y = -5/3x + 11 1/3. The slope of this line is -5/3. The negative reciprocal of -5/3 is 3/5.
Next, you have a point P(-2,3) that the perpendicular line must pass through.
Using the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) represents the coordinates of a point on the line and m represents the slope, you can substitute the values into the equation.
Therefore, for the equation of the line perpendicular to y = -5/3x + 11 1/3 and containing P(-2,3), the correct answer would be:
y - 3 = 3/5(x - (-2))
Simplifying this equation, you get:
y - 3 = 3/5(x + 2)
So, the correct answer for the equation of the line would be:
y = 3/5x + 6/5
Based on the options given, it seems that none of the provided answers match the correct equation.