The equation of the line that parallel to y = -2 x + 4 and passes
through the point (4 , 0) is y = -2 x + 8
Parallel lines have same slopes
Parallel lines have different y-intercepts
Step-by-step explanation:
The slope-intercept form of an equation of a line is y = m x + c, where
m is the slope of the line and c is the y-intercept
1. Parallel lines have same slopes
2. Parallel lines have different y-intercepts
∵ The equation of a line is y = -2 x + 4
∵ The slope-intercept form of the equation of a line is y = m x + c
∴ m = -2
We need to write the equation of a line that parallel to the line above
∵ Parallel lines have same slopes
∵ The slope of the line above = -2
∴ The slope of the line = -2
∴ The equation of the line is y = -2 x + c
To find c substitute x and y in the equation by the coordinates of a
point on the line
∵ The line passes through the point (4 , 0)
- substitute x by 4 and y by 0 in the equation
∴ 0 = -2(4) + c
∴ 0 = -8 + c
- Add 8 to both sides
∴ 8 = c
- substitute the value of c in the equation
∴ The equation of the line is y = -2 x + 8
The equation of the line that parallel to y = -2 x + 4 and passes
through the point (4 , 0) is y = -2 x + 8
Parallel lines have same slopes
Parallel lines have different y-intercepts
Learn more:
You can learn more about parallel lines in brainly.com/question/10483199
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