helium gas accounts for less than 0.01% of Earth's atmosphere gases. write this percentage as a decimal and as a mixed number or
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The equation of the parallel line is y = x +
⇒ 3rd answer
Step-by-step explanation:
Parallel lines has:
- Same slopes
- Different y-intercepts
The slope-intercept form of the equation of a line is y = mx + b, where
- m is the slope of the line and b is the y-intercept
- The formula of m is
∵ Line EF has E (-2 , 5) and F (1 , 3)
∴ = -2 and
= 1
∴ = 5 and
= 3
- Use the formula of m above to find the slope of line EF
∴
∵ The line is parallel to line EF
∴ Their slopes are equal
∴ The slope of the parallel line is
- Substitute the slope of the line in the form of the equation
∴ y = x + b
- To find b substitute x and y in the equation by the coordinates
of a point on the line
∵ The parallel line passes through point (2 , 6)
∴ x = 2 and y = 6
∴ 6 = (2) + b
∴ 6 = + b
- Add to both sides
∴ = b
∴ y = x +
The equation of the parallel line is y = x +
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