y = mx + c
Where m is the gradient of the line and c is a constant (the intercept of the line).The equation of a line is typically written asy=mx+b where m is the slope and b is the y-intercept.
If you know two points that a line passes through, this page will show you how to find the equation of the line.
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Two lines with the same slope and y-intercept look like one single line. The "system" of equations consists of the same equation twice. The lines coincide at every point, which means there are an infinite number of solutions.
You know that an equation has no solution when...Ex. 2>5 is falseTo show its false, put and O with a / through it----------To find it false, in terms of graphing, it is when you have parallel lines (Not crossing at any point if, in a perfect world, the lines went on forever).So for an exampley=2-3x6x+2y=7 (y=-3x+7/2 in Y=mx+b form)With this equation the lines do not pass through each other, and once more in a perfect world, if they kept going on the lines would never cross.
There is not a single line, but infinitely many lines, that pass through the point (-5, 0). One thing you can do is choose some random slope, then use the equation for an equation that goes through a point and has a specified slope.
Vertical lines only intersect the x-axis. This means that the equation of a vertical line is x=n. The variable n is the coordinate where on the x-axis the line goes.
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.