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From Standard Form To Slope-Intercept

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

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From Standard Form To Slope-Intercept

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

  2. 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”. Standard Form Slope-InterceptAx + By = C y = mx + b

  3. The Slope-Intercept Formula 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. 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

  6. 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)

  7. 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)

  8. 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.

  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. 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. m = 3, b = 1

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

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