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
Learn more:
You can learn more about the equations of the parallel lines in brainly.com/question/9527422
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Step-by-step explanation:
6.) 8p = 8x9 = 72
8.) 4(d+7) = 4(-2+7) = 4(5) = 20
can't read all of 10 to give an answer
The answer is B 2,142.72 because when you add it all up then multiply by 12 it will equal that.
First expression
=> 3 x 3 x 3 x 3 x 3 – In this expression, we multiplied 3 5 times and the product is 243
Second expression
=> 3 ^ 5 , in where ^ read as raised to the power. , the product is also 243
Third expression
=> 3^2 x 3 ^3
=> (3 x 3) x (3 x 3 x 3)
=> 9 x 27, the product is also equals to 243.
Answer:
6
Step-by-step explanation:
Because ⅔ goes into 3 ⅓ 6 times.
