26+Writing+Equations+in+Slope-Intercept+Form+II

Section 5-4 RULES: - All linear equations are equivalent

FROMULAS: y= mx+b à slope intercept form M= slope of the line B= the y- intercept X/Y= are the coordinates EXAMPLE:

From Point slope form

y-4= 2x + 12 y = 2x + 16 STEPS: 1) Identify that the problem is in point-slope 2) Distribute the 2 3) Combine like-terms by adding 4 to both sides 4) End up in y-intercept form
 * 1) y-4= 2(x+6)

From standard form Example 5x-3y=12 -3y= -5x +12 y=5/3x - 4

Steps: 1) identify that t is in standard form 2) subtract 5x, removing it from the left 3) divide by 3 on both sides of the equal sign 4) y-intercept form

From Intercepts

(0,2) (-4,0) __2-0__ = __2__= __-1__ 0-4 -4 2 y= -__1x__ +2 2 __Steps:__

1) subtract the y coordinates from each ordered pair 2) subtract the x coordinates from each ordered pair 3) Find your slope 4) substitute the slope and y intercept into the equation: y=mx+b