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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:. Quick Review:. Chapter 12-3. SOLVING FOR Y AND PUTTING EQUATIONS INTO Slope - Intercept Form.
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Slope is… Steepness of a line, m, rise, change in y, common difference runchange in x Positive Slope: Negative Slope: Zero Slope: Undefined Slope: Quick Review:
Chapter 12-3 SOLVING FOR Y AND PUTTING EQUATIONS INTO Slope - Intercept Form
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. CONCEPT:
y = mx + b Slope y-intercept **Slope-intercept form: y= mx+ b mis the slope and bis the y-intercept. m and b are place holders for numbers. In slope-int. form, m & b will be numbers
y = 6x + 2 y = x - 5
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.
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: 4x + 3y = 9
-5x – 9x = 4y – 4 -6y – 2x = 8 7y – 7x = -4 1y – 3x = 4