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Which is an equation in point-slope form for the given point and slope?



Point: (–3, 7); Slope: 4



y – 7 = 4(x – 3)


y – 7 = 4(x + 3)

y + 7 = 4(x + 3)


y + 7 = 4x – 12

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QUESTION 2

Which is an equation in point-slope form for the given point and slope?


Point: (7, 4); Slope: 6



y – 7 = 6(x + 4)


y – 4 = 6(x – 7)


y – 4 = 6(x + 7)


y + 4 = 6(x – 7)

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QUESTION 3

Which is an equation in point-slope form for the given point and slope?



Point: (–8, 3); Slope: 6



y + 3 = 6x – 48


y + 3 = 6(x + 8)

y – 3 = 6(x – 8)


y – 3 = 6(x + 8)

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QUESTION 4

Which equation is graphed here?

Graph of a line containing the following points: (–4, 5), (–2, 2), (0, –1), and (2, –4).



y – 4 = (x + 2)


y – 2 = (x + 4)

y – 4 = (x + 2)






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QUESTION 5

A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.


Number of pages 50 100 150 200
Cost 1.25 1.85 2.45 3.05

Which equation gives the cost, y, in terms of the number of pages, x?

y = 0.012x + 49.985

y = 0.012x + 1.25

y = 83.3x + 0.65

y = 0.012x + 0.65

Answer :

y - y1 = m(x - x1)
slope(m) = 4
(-3,7)...x1 = -3 and y1 = 7
now we sub
y - 7 = 4(x - (-3) =
y - 7 = 4(x + 3) <===
====================
y - y1 = m(x - x1)
slope(m) = 6
(7,4)...x1 = 7 and y1 = 4
now we sub and solve
y - 4 = 6(x - 7) <==
===================
y - y1 = m(x - x1)
slope(m) = 6
(-8,3)....x1 = -8 and y1 = 3
sub
y - 3 = 6(x - (-8) =
y - 3 = 6(x + 8) <==
=====================
(-4,5)(-2,2)
slope = (2 - 5) / (-2 - (-4) = -3/(-2 + 4) = -3/2

y - y1 = m(x - x1)
slope(m) = -3/2
(2,-4)....x1 = 2 and y1 = -4
sub
y - (-4) = -3/2(x - 2) =
y + 4 = -3/2(x - 2) <==
=====================
(50,1.25)(100,1.85)
slope = (1.85 - 1.25) / (100 - 50) = 0.6/50 = 0.012

y = mx + b
slope(m) = 0.012
use any of ur points...(50,1.25)...x = 50 and y = 1.25
now sub and find b, ur y int
1.25 = 0.012(50) + b
1.25 = 0.6 + b
1.25 - 0.6 = b
0.65 = b

so ur equation is : y = 0.012x + 0.65 <==

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