l2 m2 2 ( 2) 2 2 4 2 Negative reciprocals Of each other : They are . Equation of a Line What is slope-intercept form? Slope-Intercept Form
Find the slope of the line y = 2x - 4. 8 6 4 2 -8 -6 -4 -2 -2 -4 -6 -8 y = 2x - 4 2 4 6 8
rise slope 2 run The y-intercept is -4. y 2x 1 right 1 right 1 up 2 up 2 Example: Graph 3x + 4y = 12 y
Step 1: Put equation in slope intercept form x Example Write the equation of the line with slope = -2 and passing x1 , y1 ) through the point (3, (-5).
Substitute m and substitute Form. into the Slope Intercept Y=-2x+b -5=-2(3)+b 1=b
Y=-2x+1 Ex : Write the equation of the line with m=3 and through the point (2,-3) Y=mx+b Y=3x+b -3=3(2)+b -9=b Write the Equation for the line:
Through (-2,1) and parallel to y=-3x+1 Plug the point (-2,1) into the equation y=mx+b 1=m(-2)+b If it is parallel, then they have the same slope! So m=-3 , therefore, 1 = (-3)(-2)+b 1 = 6+b -6 -6 -5 =b
Write the equation of the new line: Y=-3x-5 Write the equation of the line: Perpendicular to y=3x-4 that passes through the point (3,2).
2=m(3)+b Slope is the neg. reciprocal so m=-1/3. 2=-(1/3)(3)+b 2=-1+b
3=b Equation: y=-1/3x+3 Parallel to the line 2x+y=6 thru (3,4). Perpendicular to the line -3x+ y=4 thru (6,4)
Course Information. This bloodborne pathogens training program is required annually for UM employees who may reasonably anticipate contact with blood or other potentially infectious materials (OPIM), during the performance of their duties.
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