Here is an example:
10x + 5y = 25
move the x's to the other side by subtracting them
5y = -10x + 25
divide the equation by 5(beacuse 5 is the number in front of y) to get y by itself
y = -2x + 5
The standard form equation of a line is y=mx+b. M represents the slope; slope is the change in x over the change in y. B represents the y-intercept.
You place X and Y on the same side to get a standard equation.
As for example in the equation: y = 2x+5 the slope is 2 and the y intercept is 5
5
That's all you need to know in order to draw the graph. Note that it doesn't matter what form the equation is written in. The form of presentation doesn't change the slope or intercept.
The standard form equation of a line is y=mx+b. M represents the slope; slope is the change in x over the change in y. B represents the y-intercept.
If the equation is y = mx + c then you simply move y to the right hand side to make it 0 = mx - y + c and then, if you like, you can swap sides so that you get mx - y + c = 0.
You place X and Y on the same side to get a standard equation.
As for example in the equation: y = 2x+5 the slope is 2 and the y intercept is 5
-4
Solve the equation for ' y '.
5
That's all you need to know in order to draw the graph. Note that it doesn't matter what form the equation is written in. The form of presentation doesn't change the slope or intercept.
In a linear (first-order) equation, it is the ratio of the change in y of a segment to the change in x of the same segment. If the equation is in the form y = mx + b, m is the slope. In a higher-order equation, the instantaneous slope is the slope of the tangent line intersecting a particular point along the curve.
Standard. You need a linear equation in two variables for slope-intercept form.
The coefficient of x changes as the slope changes.
That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution, because it's the point that satisfies each equation in the system. Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.