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finlep [7]
3 years ago
9

Slope-intercept X-intercept = 3 , y-intercept = 3

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Answer:

y=-1x+3

Step-by-step explanation:

Slope intercept form: y=mx+b

x intercept (3,0)

y intercept (0,3)

slope= \frac{y2-y1}{x2-x1} = \frac{3-0}{0-3} =\frac{3}{-3} =-1

start subbing in numbers from one of the points. I'm using hte x intercept so it would be (0,3). m = slope

y=mx+b

3=-1*0+b

3=0+b

b=3

so now that you know what b and the slope is,

y= -1x+3

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If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
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<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

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_____

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For b = 12, the equation factors as ...

  4x² +12x -27 = (2x -3)(2x +9) = 0

  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

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