SOLUTION: The linear equation y = 3x � 5 graphs as a horizontal/vertical/diagonal line. I am confused by this. How do you know which it is?

Question 145586This question is from textbook intermediate algebra
: The linear equation y = 3x � 5 graphs as a horizontal/vertical/diagonal line. I am confused by this. How do you know which it is? This question is from textbook intermediate algebra

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Your equation is in slope-intercept form, that is: .

Therefore, you know the slope for your equation.

If the slope, , is:

Equal to zero, you have a horizontal line.

A positive number, you have a line that slants upward from left to right.

A negative number, you have a line that slants downward from left to right.

Undefined, as in where a is any real number, then you have a vertical line. You can see why the slope is undefined by re-writing as showing you that you would have to divide by zero to calculate the slope number.

The visual way to do it is to plot the graph of the line. Pick any value for x, substitute that value for x in the equation, do the arithmetic to find the corresponding y value, and then plot the point (x,y) that you have just derived. Repeat the process using another value of x. Draw a line through both points.
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