There are a couple ways to determine the equation of a line without graphing. How to proceed depends on what you know about the line.
Do you know a point, (x1, y1), and slope, m? Then use the point-slope formula,
Do you know two points on the line, say (x1, y1) and (x2, y2)? Then use the two-point formula,
By substitution
If you have an equation that looks like y=mx+b then the m is the slope. If you have two points then you use the formula Y2-Y1/X2-X1
The line that includes whatever variables are included in the equation.
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it
By substitution
You must find the slope, if it is positive, then the line is always increasing. If it is negative, then the line is always decreasing.
guess it
If you have an equation that looks like y=mx+b then the m is the slope. If you have two points then you use the formula Y2-Y1/X2-X1
The line that includes whatever variables are included in the equation.
If you have the equation, yes. If the equation is given in terms of x and y, make y the subject of the equation. That is, expres the equation in the form y = mx + c where m and c are constants. Then the gradient is m.
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
It depends on which calculator! If the data is linear, you can estimate the slope of the line and the y-intercept from graphing the data. By graphing the data, you will be able to tell if it forms a straight line or not.
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it
Without any equality signs the given expression can't be considered to be straight line equations.
Without an equality sign the given terms can't be considered to be a straight line equation.
The equation does not have and y variable in it: it is of the form x = c. Alternatively, the x coordinates of both points are the same and the y coordinates are not.