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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You can learn more about the equations of the parallel lines in brainly.com/question/9527422
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Answer:
x<8
Step-by-step explanation:
x+7<15
x<15-7
x<8
Answer:
The length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.
Step-by-step explanation:
You have to consider the formula of the perimeter = 2·length + 2·width.
If we call "x" to the length ⇒ width = x + 12 .
Perimeter = 2x + 2·(x + 12) ⇒ Perimeter = 2x + 2x + 24
⇒Perimeter = 4x + 24. ⇒ 76 = 4x + 24 ⇒ 76 - 24 = 4x ⇒52 = 4x
⇒ 52/4 = x ⇒ x = 13.
So, the length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.
Answer:
*me sweating while answering this*
Step-by-step explanation:
i think my dogs weigh about 50 pounds each
i am 5'6 feet tall
my favorite color is blue
