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Bumek [7]
3 years ago
15

A line goes through the points (1, 4) and (2, 6). Write the equation of this line in slope-intercept form.

Mathematics
1 answer:
umka21 [38]3 years ago
6 0
Y2-y1=6-4=2
x2-x1=2-1=1
2/1=2
The slope is 2
y=2x+b
4=2(1)+b
4=2+b
-2
2=b


y=2x+2
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1.) x = -3...this is a vertical line with an undefined slope. A parallel line to a vertical line is also a vertical line. A vertical line is represented by x = a number....that number being the x coordinate of ur point(4,2).
so ur parallel line is : x = 4 <==
=================
2.) y = -3/2x + 6....slope here is -3/2. A parallel line will have the same slope.

y = mx + b
slope(m) = -3/2
(2,-1)...x = 2 and y = -1
now we sub into the formula and find b, the y int
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===================
y = -x - 2....the slope here is -1. A parallel line will have the same slope

y = mx + b
slope(m) = -1
(2,-2)...x = 2 and y = -2
now we sub into the formula and find b, the y int
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0 = b
so ur parallel equation is : y = -x + 0 which can be written as : y = -x <=
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