answer is 1
None, one or an infinite number. In graph form, the three correspond to: None = Parallel lines One = Interscting lines Infinite = Coincident lines.
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.
There are no common points for the following two equations: y = 2x + 3 y = 2x - 1 If you graph the two lines, since they have the same slope, they are parallel - they will never cross.
It is a continuous line whose shape depends upon what expression it is meant to represent.The equation y = x would be a straight line passing through (0,0) and all the other points where the x and y co-ordinates were equal, including negative ones such as (-11,-11).But if the equation has x squared in it the shape would be a parabola, while the graph of an equation with y cubed in it would have something like an S shape in it. More complex equations could produce many differently shaped lines.
A graph is a function if there is no more than one y-value for any x value. This means no vertical lines or "C" shapes, etc
In the same coordinate space, i.e. on the same set of axes: -- Graph the first equation. -- Graph the second equation. -- Graph the third equation. . . -- Rinse and repeat for each equation in the system. -- Visually examine the graphs to find the points (2-dimension graph) or lines (3-dimension graph) where all of the individual graphs intersect. Since those points or lines lie on the graph of each individual graph, they are the solution to the entire system of equations.
In order for the two equations kx-8y-32 equals 0 and 4x-5y +17 equals 0 to produce parallel lines, "k" in the first equaation needs to equal 2. Then, when you plot the lines on a graph they lie parallel, with one equation liying above the y axis, and the other below it.
the solution to a system is where the two lines intersect upon a graph.
On the standard Cartesian graph, horizontal lines have zero slope. They all have the equation Y = a number
If x equals a constant number, the graph will be a vertical line. For example, the graph of x = 5 would be a vertical line that goes through the point (5,0). x equals 5 on every point along this lines.
Two straight lines that intersect.
For graphs of parallel lines , the slope is ALWAYS the same, in this case, '-0.5'. However , the constant, '2' in this case, can be any numberyou like. e.g. y = -0.5x + 1,000,000 are parallel lines.
put both equations in standard form y - 3x = -5 (equation 1) -7y + 21x = 35 (equation 2) multiply equation 1 by 7 (this is done so either one of your variables will cancel... if both variables cancel then these lines are parallel) 7y - 21x = -35 -7y + 21x = 35 0 = 0 therefore your lines are parallel
None because without an equal sign it's not an equation but some kind of an algebraic expression.
The lines are parallel.
the graph is 2 straight lines from the origin in quadrants 1 and 2 at angle of 45 and 135 degrees from 0
3