Download presentation

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.

Similar presentations

OK

Warmups Determine the slope of the line passing through: (2,7) (4,-5)

Warmups Determine the slope of the line passing through: (2,7) (4,-5)

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Free ppt on smart note taker pdf Ppt on point contact diode Ppt on articles of association template Controller area network seminar ppt on 4g Ppt on environmental pollution in india Ppt on english language learning Ppt on javascript events onload Chemistry ppt on polymers Ppt on the environmental pollution its causes effects and solutions Ppt on natural numbers math