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**Slope-Intercept and Standard Form**

Linear Equations Slope-Intercept and Standard Form

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Slope-Intercept Form Any linear equation can be solved for y and written like this: This form of a linear equation is called ______-_________ form.

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**Slope-Intercept Form The “m” represents the _____ of the line.**

It is often convenient to write the slope as a fraction, since slope is defined as...

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**Slope-Intercept Form The “b” represents the __-__________.**

(Which is where the line crosses the __-_____.) It is important to pay attention to the signs of both m and b!

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y = 3x - 5 Can you determine the slope and the y-intercept of this equation? The slope is ___ Which we might choose to write as ___ (to make the “rise” and “run” more obvious)

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**y = 3x - 5 What about the y-intercept?**

You didn’t miss the negative sign did you? We can graph this equation by first plotting the y-intercept, then plotting a second point found via the slope!

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**y = 3x - 5 Could you sketch the graph? First plot the y-intercept.**

The “rise” is __. The “run” is __.

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**3x + 2y = 4 Re-write the equation in slope-intercept form.**

Solve for y. Put the “x” term first on the right side of the equation. The slope is ___ and the y-int is ___.

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y = -3/2x + 2 Now graph the linear equation.

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**Writing a Linear Equation**

Suppose you were given a point on a line and a slope. Could you write the equation of the line? How could you find the y-intercept?

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**m = 2/3 and the line contains (-3,-2)**

Since we know the slope and at least one value of x and y that makes the equation true, we can simply substitute and solve!

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**Writing a Linear Equation**

Now we know both the slope and the y-intercept. Can you write the equation in both slope-intercept and standard form? Write the equation in slope-intercept form.

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