write the equation of the line through each point. use slope intercept form. through (7,1) and perpendicular to y=-x+3.
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y = -x + 3
do you know what the slope is in this equation ?
y = mx + b....m is your slope, therefore the slope to that equation is -1.
Understand so far ?
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ok got it.
We are looking for a perpendicular line, therefore the slope will change. We want the negative reciprocal of slope -1. That just means " flip " the slope and change the sign. Therefore, the slope we will need will be 1. Understand ?
We will now use point slope formula : y - y1 = m(x - x1)
using slope(m) = 1 and (7,1) x1 = 7 and y1 = 1
so lets sub our info into the formula..
y - 7 = 1(x - 1)
you still with me ?
y - 7 = 1(x - 1)
y - 7 = x - 1
y = x - 1 + 7
y = x + 6
any questions ?
thx and i have no questions.
if you were looking for a parallel line, the slope would have stayed the same. But perpendicular is negative reciprocal of the slope. Remember this.