What is the equation of a line that passes through the point (6,3) and is perpendicular to a line with a slope of -3/2
1 answer:
Answer:
none of the above
Step-by-step explanation:
The perpendicular line will have a slope that is the negative reciprocal of the given slope, so it is ...
m = -1/(-3/2) = 2/3
The point-slope form of the equation of the line with slope m through point (h, k) can be written ...
y = m(x -h) +k
For this slope and the point (6, 3), the equation of the line is ...
y = (2/3)(x -6) +3
y = 2/3x -4 +3
y = 2/3x -1 . . . . . matches none of the offered choices
_____
The attached graph shows this equation is the one that goes through the given point.
You might be interested in
Answer:
Step-by-step explanation:
The irrational numbers are: √8, √10 and √15
Step-by-step explanation:
A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.
"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"
So in the given options
Which can be written in the required form so √4 is a rational number
√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number
√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number
√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number
Which can be written in the required form so √36 is a rational number
Hence,
The irrational numbers are: √8, √10 and √15
Keywords: Rational numbers, Irrational numbers
Learn more about rational numbers at:
#LearnwithBrainly