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.
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.
4
Without an equality sign it is not an equation but when a straight line equation is parallel to another straight line the slope remains the same but the y intercept is different
q2
-4
(Y = -2x plus or minus any number) is parallel to (Y = -2x + 5) .
4
2y= 3x+6
Without an equality sign it is not an equation but when a straight line equation is parallel to another straight line the slope remains the same but the y intercept is different
5
x=4
q2
-4
5
Any equation with the form y=c is parallel to the y-axis, where c is a constant.
7
If you mean y = 2x-3 then the parallel equation will have the same slope of 2 but with a different y intercept