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How can you tell from a linear equation which direction it goes without graphing the equation?
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.
How can you tell which equation has the steepest slope?
if you know the slope of two epuations, (if the equations are in slope intercept form (y=mx+b, y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept) the line represented by the line with the larger slope (|m|) has the steeper slope. If the lines have the same m, the slopes are either equal or negative. If the slope of either line is undefined, it is steeper than any slope other than one that is undefined, in wich the slopes are equal
What is the direction of a line whose slope is undefined?
If you dont have slope then you cant tell
By looking at two linear equations how can you tell that the corresponding lines are parallel?
By looking st two linear equations you can tell that the corresponding lines are parallel when the slope is the same. The slope controls where the line is.
Why is the slope called the rate of change?
On a graph, the slope does tell you the rate of change of y with respect to x. If the slope is steep, that means that there is a high rate of change of y with respect to x. If the slope is shallow, then y is not changing that rapidly with respect to x.
