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Feliz [49]
3 years ago
11

Graph this line using the slope and y-intercept: y = 1/9x + 4​

Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0
If you don’t know how to graph slope intercept equations here’s a simple step by step way.

Tiny explanation for step 1:

In y= 1/9x + 4 (y= mx+b) the 4 (b) is the y-intercept. In y= 1/9x + 4 (y= mx+b) the 1/9 (m) is the slope.

1. So go to (0,0) and go 4 units up and circle the point (0,4) which is going to be your lines y-intercept. (the vertical line in a graph is the y-axis, all y-intercepts are on this axis.)

Quick explanation for step 2: Once you have this point (0,4) your going to now use the slope of the equation (which is 1/9). Slopes are in rise over run formate or in more simplistic terms the top number (this only works with fractions) is how many spaces you go up and the bottom is how many spaces you go to the right (this is a positive slope so I won’t explain for negatives).

2. At point (0,4) your y-intercept go 1 unit up and 9 units to the right. Continue this with the new point u made if room (draw an arrow at the end). Then go back to (0,4) and do the other side of the line. This time go down 1 unit and left 9 units from (0,4) your y-intercept.

Hope this was at least somewhat helpful and not completely confusing!
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Write the equation of the line parallel to the given line and passing through the given point.
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  a)  y = 2x +4

  b)  y = 1/2x +4

  c)  y = -2x +11

Step-by-step explanation:

The given equations are in slope-intercept for, so we can read the slope directly from the equation. It is the x-coefficient.

We can then write an equation of a parallel line using the point-slope form of the equation of a line:

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If you like, you can rearrange this to "slope-intercept" form. Add k and simplify.

  y = mx +(k -mh)

__

a) m = 2, (h, k) = (3, 10)

  y = 2x +(10 -2·3)

  y = 2x +4

__

b) m = 1/2, (h, k) = (0, 4)

  y = 1/2x +(4 -(1/2)·0)

  y = 1/2x +4

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c) m = -2, (h, k) = (4, 3)

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