If you represent the original straight line on a graph using Cartesian co-ordinates, it's equation will be y=mx+c where y and x are the variables and m and c are constants.
(m will equal the gradient of the line. c will be the point where the line cuts through the y axis).
Your new line, parallel to the original will be y=mx +c +d where d is the vertical distance between the point and the original line.
Parallel straight line equations have the same slope but with different y intercepts
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
The equation is x = -7.
Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.
The Playfair Axiom (or "Parallel Postulate")
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
Parallel straight line equations have the same slope but with different y intercepts
Any equation parallel to the x-axis is of the form:y = constant In this case, you can figure out the constant from the given point.
Any equation parallel to the x-axis is of the form:y = constant In this case, you can figure out the constant from the given point.
The equation is x = -7.
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
Given point: (6, 7) Equation: 3x+y = 8 Parallel equation: 3x+y = 25
Without an equality sign the given terms can't be considered to be an equation but in general when lines are parallel they have the same slope but different y intercepts.
The given expression is not an equation because it has no equality sign but for a line to be parallel to another line they both will have the same slope but with different y intercepts
Without an equality sign and not knowing the plus or minus values of the given terms it can't be considered to be an equation but in general parallel equations have the same slope but different y intercepts.
p (2,-1) and slope 3
Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.