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coldgirl [10]
2 years ago
10

use the graph to write a linear function that relates y to x when the slope is 4/3 and the yint is 2​

Mathematics
1 answer:
lora16 [44]2 years ago
7 0

Answer:

 y = 4/3x +2

Step-by-step explanation:

The graph crosses the y-axis at y=2, so that is the y-intercept.

The points have a rise of 4 units for each horizontal run of 3 units, so the slope is ...

 m = rise/run = 4/3

The slope-intercept equation for the line is ...

 y = mx +b . . . . . . line with slope m and y-intercept b

 y = 4/3x +2

Still stuck? Get 1-on-1 help from an expert tutor now.

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Mamont248 [21]
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3 years ago
HELP!!!!
ss7ja [257]
<h3>3 Answers: Choice D, Choice E, Choice F</h3>

============================================================

Explanation:

The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.

Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.

Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.

We can verify this algebraically. For instance, if we weren't sure point E was  a solution or not, we would plug the coordinates into the inequality to get...

6x - 10y ≥ 9

6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)

30 - 20 ≥ 9

10 ≥ 9 ... this is a true statement

Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.

-----------

I'll show an example of something that doesn't work. Let's pick on point A.

We'll plug in (x,y) = (-1,1)

6x - 10y ≥ 9

6(-1) - 10(1) ≥ 9

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The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.

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3 years ago
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Answer:

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Set the equations equal to each other: 0.5x + 25 = 0.3x + 30.

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