Linear Equations


Above left is the graph of y = 2x - 3.
If you look at the next two graphs, you'll see that we first identified the y intercept -3.
Then we worked out the slope 2.

What you discover is that, for the equation y = 2x - 3, the slope is 2 and the y intercept is -3.

This works for any line equation or rule that is in the form y =


Some examples:

y = 5x + 7 has slope 5 and y intercept (0, 7)

y = 0.2x - 1 has slope 0.2 and y intercept (0, -1)

y = 12x + 2 has slope 12 and y intercept (0, 2)

y = 3x can be written as y = 3x + 0, so it has slope 3 and y intercept (0, 0)

y = 5 can be written as y = 0x + 5, so it has slope 0 and y intercept (0, 5). This is a horizontal line.


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Introduction | Slope | Special Lines | XY Axes | Intercepts | Quick Graphing
Linear Equations | Parallel and Perpendicular | Equation Forms | Finding Equations



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Content, HTML, graphics & design by Bill Willis 2023