Any equation with the form y=c is parallel to the y-axis, where c is a constant.
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To determine an equation that represents a line parallel to a given line, you need to identify the slope of the original line. Lines that are parallel have the same slope but different y-intercepts. Therefore, if the equation of the original line is in slope-intercept form (y = mx + b), any line parallel to it will also be of the form (y = mx + c), where (c) is a different constant.
A line that is parallel to the line represented by the equation ( y = -3x - 7 ) will have the same slope. Since the slope of the given line is -3, any parallel line will also have a slope of -3. Therefore, an equation representing a parallel line can be written in the form ( y = -3x + b ), where ( b ) is any real number.
To find a line that is parallel to the line represented by the equation ( y - 4x + 5 = 0 ), we first rewrite it in slope-intercept form: ( y = 4x - 5 ). The slope of this line is 4. A parallel line will have the same slope, so a general equation for a parallel line can be expressed as ( y = 4x + b ), where ( b ) is any real number.
If you mean: y = 2x-4 then the parallel line will have the same slope of 2 but with a different y intercept
2y= 3x+6
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x=4
To determine an equation that represents a line parallel to a given line, you need to identify the slope of the original line. Lines that are parallel have the same slope but different y-intercepts. Therefore, if the equation of the original line is in slope-intercept form (y = mx + b), any line parallel to it will also be of the form (y = mx + c), where (c) is a different constant.
5
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A line that is parallel to the line represented by the equation ( y = -3x - 7 ) will have the same slope. Since the slope of the given line is -3, any parallel line will also have a slope of -3. Therefore, an equation representing a parallel line can be written in the form ( y = -3x + b ), where ( b ) is any real number.
y=-(2/3)x + (n) where n can be any integer.
[ y = plus or minus any number ] is parallel to the x-axis.
I assume the question should be y = -2x + 5? The equation of a line that is parallel to that line is any line that begins 7 = -2x ... after the -2x any number may be added or subtracted. Parallel lines have the same slope. In the original equation, the slope is -2.
To find a line that is parallel to the line represented by the equation ( y - 4x + 5 = 0 ), we first rewrite it in slope-intercept form: ( y = 4x - 5 ). The slope of this line is 4. A parallel line will have the same slope, so a general equation for a parallel line can be expressed as ( y = 4x + b ), where ( b ) is any real number.
y = -3x + 7 is an equation which gives us a line parallel to the line y = -3x + 1, or the line -3x - 1. The equation given represents the slope-intercept form of the equation for a line. Slope-intercept takes the form y = mx + b. In this form the the value of m represents the slope of the line, while b represents the Y intercept. All lines with the same slope are parallel (unless they're exactly the same.) So to find a parallel line, we simply adjust the Y intercept to any value other than the one given.