Problema Solution
find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.
Containing the points (−3, 4) and (2, 5)
Answer provided by our tutors
It's hard to read what the first point is.
If the points are (3,4) and (2,5):
first find the slope: m = change in y/change in x
= (5-4)/(2-3) = 1/-1 = -1
use either point and the equation y = mx + b to solve for b
y = -x+b
use the point (2,5)
5 = -2+b
7 = b
so the equation would be:
y = -x+7
If the points are (-3,4) and (2,5):
first find the slope: m = change in y/change in x
= (5-4)/(2-(-3)) = 1/5
use either point and the equation y = mx + b to solve for b
y = (1/5)x+b
use the point (2,5)
5 = (1/5)*2 + b
5 = (2/5) + b
4.6 = b
so the equation would be:
y = (x/5) + 4.6 or
y = .2x + 4.6 would be the same thing
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