The standard form of a linear equation is y = mx + b
where m is the slop of the line, and b is the y intercept.
If you have two points (x1,y1) and (x2,y2), you can get the slope with the following formula:
m = (y2-y1)/(x2-x1)
if you plug this number in to the equation you can then plug in any (x,y) point on the line to solve for b.
Identify a linear equation in standard formUse the properties of equality to write a linear equation in standard formDetermine solutions of a linear equation given in standard formGraph a linear equation given in standard form
the Equation of a Line Given That You Know Two Points it Passes Through.
I suggest that the simplest way is as follows:Assume the equation is of the form y = ax2 + bx + c.Substitute the coordinates of the three points to obtain three equations in a, b and c.Solve these three equations to find the values of a, b and c.
y = 7x - 4
-1
Identify a linear equation in standard formUse the properties of equality to write a linear equation in standard formDetermine solutions of a linear equation given in standard formGraph a linear equation given in standard form
A linear equation with an undefined slope is an equation where, when graphed, forms a vertical line. For example: when given 2 points: (2, 4) (2,7) ~ The x-values are the same, while the y-values differ, which would create a vertical line when the points are graphed
the Equation of a Line Given That You Know Two Points it Passes Through.
5
But it's not an equation because there is no equal sign and no points are given.
To identify the slope in a linear equation, rearrange the equation into the form y = mx + b. The term m is the slope.
To write a linear equation given two points, you can first calculate the slope using the formula: slope = (y2 - y1) / (x2 - x1). Once you have the slope, you can choose one of the points to substitute into the point-slope form of a linear equation: y - y1 = m(x - x1), where m is the slope and (x1, y1) is one of the points.
Without an equality sign the given expression is not an equation
It means that whatever you have substituted is the solution of the given linear equation. Or you have substituted the equation in itself.
Points: (4, 1) and (5, 2) Slope: 1 Equation: y = x-3 Equation in its general form: x-y-3 = 0
Without an equality sign the given expression can't be considered to be a linear equation.
the Bratu's equation is a differential equation which is non-linear (such as, if we have some solutions for it, a linear combinaison of these solutions will not be everytime a solution). It's given by the equation y''+a*e^y=0 or d²y/dy² =-ae^y.