The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
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Answer:
a= 6
b = 7
c = 8
d = 7
e = 6
Step-by-step explanation:
Notice that the bike is 6 feet above the ground to start with, so when it starts rolling, the green dot is exactly 6 feet from the ground, which gives a=6
when the distance covered by the bike is 
, (see first red dot in the attached image), the position of the green dot is exactly 1 foot added to 6 ft= 7 feet
so b = 7
when the distance covered is 
, now the green dot would be at the top of the wheel (second red dot in the attached image) which involves adding 2 feet to the original 6 feet. That is: c = 8
when the distance covered is 
, the green dot is at the position of the third red dot in the attached image., that it exactly one foot added to 6 feet = 7 ft which gives the value of d = 7
and finally, when the distance covered is 
. the green dot has completed a full circle and is now again in its lower position (nothing - zero) added to 6 feet = 6ft, giving e = 6.
Always add them all around and then divide the two and you should get the correct answer
J ---- P --- K
JP = 2x
PK = 7x
JK = 27
2x + 7x = 27
9x = 27
x = 27/9
x = 3
The value of P is 3.
JP = 2x = 2(3) = 6
PK = 7x = 7(3) = 21
The picture is super blurry so i can’t see anything
