QUICK REVIEW Slope is Steepness of a line

QUICK REVIEW: Slope is… Steepness of a line, m, rise, change in y, common difference run change in x Positive Slope: Negative Slope: Zero Slope: Undefined Slope:

SOLVING FOR Y AND PUTTING EQUATIONS INTO SLOPE INTERCEPT FORM Chapter 12 -3

CONCEPT: � Any linear equation can be graphed on a coordinate plane. � In order to be able to graph the equation, it has to be set up properly. � Doctor / surgery � Driving � Vacation � The ONLY way to graph an equation is from slope-intercept form.

**Slope-intercept form: y = mx + b m is the slope and b is the y-intercept. y = mx + b Slope m and b are place holders for numbers. In slope-int. form, m & b will be numbers y-intercept

y = 6 x + 2

� Slope-intercept form is how you need an equation to be so that you can EASILY graph it. � Standard form is another way of seeing a linear equation, but you can’t graph it – you would have to put it into slope-intercept form.

To put any linear equation into slope-intercept form, you have to use inverse operations to solve for y.

Let’s put this equation in slopeintercept form: 5 y = 3 x

2 x + 3 y = -12

3 y = 4 x + 15

You must always have y, m, x, and b. This means that if an equation says y=mx, you assume that b is 0 (and add 0). y = mx + 0

Change to slope-intercept form: 4 x + 3 y = 9