The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
<h3>What is the equation of a perpendicular line?</h3>
Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. Or if the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given below.
y = (3/4)x + 1/3
The slope of the line is 3/4. Then the slope of the perpendicular line will be
Slope = - 1 / (3/4)
Slope = - 4 / 3
Then the equation of the line will be
y = -(4/3)x + D
The line is passing through (3, -2), then the value of D will be
-2 = (-4/3) × 3 + D
-2 = - 4 + D
D = 2
The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
More about the equation of a perpendicular line link is given below.
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Answer:
Step-by-step explanation:
congruent.
51°
Okay so 51 * 35 = 1785. Now that you know that all you have to do is divide that number by 42 so , 1785/42= 42.5. So the answer is 42.5 !
Answer:
GCF=1
Step-by-step explanation:
Lets factor both numbers:
the factors of 8:
1,2,4,8
the factors of 13:
1,13
The largest number in common is 1