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FIND AN EQUATION FOR THE LINE WITH y-INTERCEPT 3 THAT IS PERPENDICULAR TO THE LINE Y= 2/3x-4.
Perpendicular lines have slopes that are negative reciprocals of each other. That's a fancy word for opposite singed and upside down.
The slope intercept form of a line is , where m=slope and b=y-intercept.
:
The line they gave you has a slope of, , m=2/3.
Any line pependicular to this one is going to have a slope of m=-3/2.
They told you that they wanted this line to have a y-intercept of b=3.
Plug these values into the slope intercept form and you have:
Happy Calculating!!!
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