Answer:
-3x - 7y = 36
Step-by-step explanation:
The given line -3x - 7y = 10 has an infinite number of parallel lines, all of the form -3x - 7y = C.
If we want the equation of a line parallel to -3x - 7y = 10 that passes through (-5, -3), we substitute -5 for x in -3x - 7y = 10 and substitute -3 for y in -3x - 7y = 10:
-3(-5) - 7(-3) = C, or
15 + 21 = C, or C = 36
Then the desired equation is -3x - 7y = 36.
Answer:
- y = 5x + 11 or -5x + y = 11
Step-by-step explanation:
<u>Given line:</u>
<u>In slope-intercept form:</u>
<u>The parallel line has the same slope and will look as:</u>
<u>This line passes through the point (-2, 1), substitute:</u>
- 1 = 5*(-2) + b
- b = 1 + 10
- b = 11
<u>So the line is:</u>
or
Answer:
y = 4x - 30
Step-by-step explanation:
The general slope-intercept equation for a straight line is
y = mx + b
For y = 4x – 3, m = 4
=====
The other equation passes through (8,2) and has slope 4:
y = 4x +b Set x = 8, y = 2.
2 = 4×8 + b
2 = 32 + b Subtract 32 from each side
b= -30
The equation for the second graph is
y = 4x – 30
The graph below shows Equation (1) as a red line.
The graph of Equation 2 is the green line that passes through (8,2), runs parallel to Equation (1), and has a y-intercept at (0,-30.
1) Point-slope form
(y-y1)=m(x-x1)
m= - 3,
point (3,-4), so x1 = 3, y1 = - 4.
(y+4)= -3(x- 3)
2)Point-slope form
(y-y1)=m(x-x1)
m= - 3/4,
point (4,5), so x1 = 4, y1 = 5.
(y-5)= - 3/4(x-4)
Answer:
First we divide 19.35 by 9 to find how much it costs for 1 pane, 19.35/9=2.15$.
Then we multiply by 4 to get the cost of 4 panes, 2.15*4=8.60$. The cost of another 4 panes is 8.60$.
