Question

Write an equation of the line with y-intercept -6 that is parallel to the graph of x - 3y = 8.

Answer 1

a.y=1/3x-6 b.3y=x-8 c.3y = x - 6 d.y = 4x - 6

Answer 2

Write a direct variation equation that relates x and y. Assume that y varies directly as x. Then solve.

If y = –5 when x = 15, find y when x = –1

Answer 3

x - 3y = 8
-3y = -x + 8
y = 1/3x - 8/3
slope of this line is 1/3.....a parallel line will have same slope.

so we want a line with slope of 1/3 and y intercept of -6.

In y = mx + b form, the slope is in the m position and the y intercept is in the b position.
So your parallel line is : y = 1/3x - 6

Answer 4

Write a direct variation equation that relates x and y. Assume that y varies directly as x. Then solve.

If y = –48 when x = –8, find y when x = –3.

a.
y = 6x; –18
c.
y = 6x; –21
b.
y = 5x; –18
d.
y = –6x; 18

Answer 5

y/x = k
-5/15 = k
-1/3 = k
direct variation is y = -1/3x

y = -1/3x --- when x = -1
y = -1/3(-1)
y = 1/3
=========================
y/x = k
-48/-8 = k
6 = k

y = 6x --- when x = -3
y = 6(-3)
y = -18

Answer 6

a.
y = 6x; –18
c.
y = 6x; –21
b.
y = 5x; –18
d.
y = –6x; 18 which one is it? @texaschic101

Answer 7

answer A ... y = 6x : -18