From Standard Form To Slope-Intercept

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Presentation transcript:

From Standard Form To Slope-Intercept Solving Equations for “y”

Standard Form Slope-Intercept Ax + By = C y = mx + b When an equation is in standard form: x and y are on the same side of the equal sign. the “A” is positive there are NO fractions in the problem. When an equation is in slope-intercept: “y” is on one side of the equal sign and everything else is on the other side. To put in slope intercept form means to solve the equation for “y”.

The Slope-Intercept Formula When you solve an equation for “y” You are putting the equation in “slope-intercept form”

We use this formula to WRITE and GRAPH linear equations. Why do we need this formula? We use this formula to WRITE and GRAPH linear equations.

The Slope-Intercept Formula “x” and “y” have to be on opposite sides of equation STEPS TO SOLVE FOR “Y” Add/Subtract the term that is on the same side of the equation with y Divide by the number in front of y

Can’t add or sub these. Why? Write these equations in slope-intercept form. Can’t add or sub these. Why? They are not Like Terms 1. We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Move the term in front of y (divide by the number in front of the y)

Can’t add or sub these. Why? Put in Slope-Intercept Form - Solve for “y” Can’t add or sub these. Why? They are not Like Terms 2. We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Move the term in front of y (divide by the number in front of the y)

Put in Slope-Intercept Form - Solve for “y” We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Move the term in front of y (divide by the number in front of the y) 3.

Put in Slope-Intercept Form - Solve for “y” We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Move the term in front of y (divide by the number in front of the y) Nothing to move!! So turn it around! 4. 5.

Put in Slope-Intercept Form - Solve for “y” We want y by itself Mark it - then Move the term beside it to the other side (do the opposite + or -) Nothing to move so Move the term in front of y (divide by the number in front of the y) 6. 7.

Now let’s use the formula to WRITE an equation. Write an equation in slope-intercept form when given the slope and the y-intercept. 8. m = 3, b = 1 Simply replace the “m” and the “b” in the formula with the numbers and you have an equation.

Write an equation in slope-intercept form when given the slope and the y-intercept. Writing Slope-Intercept Equations - Examples 10. m = ½ , b = 1 9. m = -3, b = 5 12. m = 4, b = -2 11. m = 0, b = 7