y=2x-3 2x-4y=8-4y=-2x+8y=-2/-4x+8/-4y=1/2x-2the equation for slope intercept form is y=mx+bm being the slopeparallel equations would have the same slope (m) andperpendicular equations have opposite reciprocal slopesthe opposite reciprocal of 2 is -1/2the equations are neither parallel or perpendicular.
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
7x - 12y = any other number.
If the slope is the same, they are parallel. [Also, if the slopes of the two lines multiply to -1, they are perpendicular.] The slope-intercept form is y = mx + b where m and b are constants. If two different equations in this form both have the same value for m, they are parallel. Example y = 3x + 3 y = 3x - 10 As the top answer suggests, m is the slope.
In two dimensions, parallel ones. In three dimensions, either parallel or skew ones.
y=2x-3 2x-4y=8-4y=-2x+8y=-2/-4x+8/-4y=1/2x-2the equation for slope intercept form is y=mx+bm being the slopeparallel equations would have the same slope (m) andperpendicular equations have opposite reciprocal slopesthe opposite reciprocal of 2 is -1/2the equations are neither parallel or perpendicular.
If you were to graph both equations side by side, you would see that they are parallel lines. Both equations have the same slope it is just that the line would be moved down in the graph because of the intercept change.
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
The "answer" would be a set of three numbers ... the numbers that 'x', 'y', and 'z' must be in order to make the statements true. In order to find them, you need three separate equations, because you have three separate unknowns. Without three separate equations, the only thing you can find is some equations that describe one unknown in terms of the others, but you can't find unique values for them. Even with the missing operators in the question, we're pretty sure that there are most likely not three "equals" signs there, and that you haven't stated three separate equations.
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2
No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
Without m in the algebraic equation the line would have no steepness.
-1 (negative 1)
The slope or gradient is the same and would run parallel but the intercept on the y axis would be at -1
7x - 12y = any other number.