1. Slope-Intercept and Standard Form
Linear Equations
Slope-Intercept and Standard Form

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

3. 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...

4. 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!

5. 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)

6. 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!

7. y = 3x - 5 Could you sketch the graph? First plot the y-intercept.
The “rise” is __.
The “run” is __.

8. 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 ___.

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

10. 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?

11. 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!

12. 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.