y=2x+3, 3y=x+9
There are an infinite number of possibilities.
The equation of a straight line in slope intercept form is y = mx + c, where y is the y coordinate of any point, x is the x coordinate of that point, m is the slope and c is the y intercept. Therefore, the equations that correctly describe a line with a y intercept of 7 would be: y = mx + 7. The individual slope would then have to be substituted into this equation.
Y = ('x' times any number) + 7
Quadratic, simultaneous and straight line equations
its a system of equations, with no solution
There are an infinite number of possibilities.
The equation of a straight line in slope intercept form is y = mx + c, where y is the y coordinate of any point, x is the x coordinate of that point, m is the slope and c is the y intercept. Therefore, the equations that correctly describe a line with a y intercept of 7 would be: y = mx + 7. The individual slope would then have to be substituted into this equation.
What do you call equations describing two or more lines
Y = ('x' times any number) + 7
Without the inclusion of an equality sign and not knowing the plus or minus values of the given terms it can't be considered to be a straight line equation
Because a linear equation is, by definition, a straight line. Any line can be defined by selecting any one point on the line and the slope of the line.
You can write it either in standard form (ax + by = c) or in slope-intercept form (y = mx + b)
The system of equations can have zero solutions, one solution, two solutions, any finite number of solutions, or an infinite number of solutions. If it is a system of LINEAR equations, then the only possibilities are zero solutions, one solution, and an infinite number of solutions. With linear equations, think of each equation describing a straight line. The solution to the system of equations will be where these lines intersect (a point). If they do not intersect at all (or maybe two of the lines intersect, and the third one doesn't) then there is no solution. If the equations describe the same line, then there will be infinite solutions (every point on the line satisfies both equations). If the system of equations came from a real world problem (like solving for currents or voltages in different parts of a circuit) then there should be a solution, if the equations were chosen properly.
Quadratic, simultaneous and straight line equations
its a system of equations, with no solution
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.