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Dmitry [639]
3 years ago
9

Write the equation of a line in slope-intercept form that is perpendicular to the line y = 3/5 = 1 and passes through the point

(-9, 4).
Mathematics
1 answer:
4vir4ik [10]3 years ago
4 0

The slope of the line y=\frac{3}{5} x-1 is m=\frac{3}{5}.

The line perpendicular to the above line has slope -\frac{1}{m} =-\frac{5}{3}

Its equation is y=-\frac{5}{3} x+c. Since this line passes through, (-9,4),

4=-\frac{5}{3} )(-9)+c\\ c=-11

Thus the equation of the line in slope intercept form is y=-\frac{5}{3} x-11

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Convert 14x + 6y = 36 to slope intercept form.
zubka84 [21]

Answer:

y = - \frac{7}{3} x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

14x + 6y = 36 ( subtract 14x from both sides )

6y = - 14x + 36 ( divide all terms by 6 )

y = - \frac{14}{6} x + 6, that is

y = - \frac{7}{3} x + 6 ← in slope- intercept form

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liraira [26]

Answer:

y-3 = (1/4)x; 4y = -4x +14; y=4

Step-by-step explanation:

>First find the equation of function A

general equation of a line is y=mx+b

m = (y2-y1)/(x2-x1)= (0-(7/2))/(-7-0) = (-7/2) *(1/-7)  = 1/2

consider the point (-7,0)

0 = -7(1/2) +b

7/2 = b

Function A has the equation y= (1/2)x +7/2

>rewrite the equations to fit the standard form

y-3 = (1/4)x ; add 3 to both sides

y= (1/4) x +3

4y = -4x +14 ,divide by 4 both sides

y= -x + 7/2

y=4

> intercept less than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y= (1/4) x +3 is 3

3  < 7/2, so the answer is y-3 = (1/4)x

> intercept equal to A

y-intercept for function A , y= (1/2)x +7/2, is  7/2

y-intercept for function y= -x + 7/2 is 7/2

7/2=7/2 , so the answer is 4y = -4x +14

> intercept greater than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y=4 is 4

4 > 7/2

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2 years ago
In the recursive formula an = an−1 + 5, the value of the previous term is represented by
den301095 [7]

Step-by-step explanation:

In the recursive formula an = an−1 + 5

a_n = a_{n-1}+5

Suppose if a_5 is the nth term then previous term is a_4

To get the previous term we need to subtract 1 from the n

So a_n is the nth term

a_{n-1} is the previous term

Here 5 represents the common difference between two terms

So value of previous term is represented by

a_{n-1}

Answer : a_{n-1}

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Answer:

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Step-by-step explanation:

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