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

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Presentation on theme: "From Standard Form To Slope-Intercept Solving Equations for “y”"— Presentation transcript:

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

2 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”.

3 When you solve an equation for “y” You are putting the equation in “slope- intercept form”

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

5  “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

6 Write these equations in slope-intercept form. Can’t add or sub these. Why? They are not Like Terms  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) 1.

7 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) Can’t add or sub these. Why? They are not Like Terms 2.

8  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” 3.

9 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.

10 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.

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

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


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