Lines With Slope Intercept Form Worksheet
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1
2
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4Name: ____________
Lines Worksheet
Line Facts:
Slope is the ratio of the rise (the change in y) over the run (the change in x)
rise
∆y
y
– y
distance up (+) or down (-)
2
1
Slope = m = ------------ = ------ = -------------- = ---------------------------------------
run
∆x
x
– x
distance right (+) or left (-)
2
1
Slope-Intercept Form:
y = mx + b
y – y
= m(x – x
of y – k = m(x – h) for point (h, k)
Point-Slope Form:
)
1
1
Standard Form:
Ay + Bx = C
(x
, y
)
2
2
slope = -B/A
and y-intercept = C/A
To find the y-intercept set x = 0
To find the x-intercept set y = 0
∆y
and solve for y =
and solve for x =
Parallel lines have the same slope
(x
, y
)
1
1
∆x
Perpendicular lines have negative reciprocal slopes
Find the information off of the following graphs:
1)
2)
3)
m = ___
m = ___
m = ___
x-intercept = ______
x-intercept = ____
4)
5)
6)
m = ___
m = ___
m = ___
y-intercept = _____
y-intercept = _____
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