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3 years ago

How do you convert 5y-x+4=0 into y=mx+b form?

1 answer:

3 0

$5y-x+4=0$

~Add x to both sides

$5y+4=x$

~Subtract 4 from both sides

$5y=x-4$

~Divide both sides by 5

$\frac{5}{5}y= \frac{1x}{5} - \frac{4}{5}$

~Simplify

$y= \frac{1}{5} x- \frac{4}{5}$

~M= $\frac{1}{5}$

~B= $-\frac{4}{5}$

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Answer:

$\large\boxed{a-b=11}$

Step-by-step explanation:

$\text{Use}\ x^2-y^2=(x-y)(x+y).\\\\\text{We have}\\\\a^2-b^2=275\ \text{and}\ a+b=25.\\\\\text{Substitute:}\\\\275=(a-b)(25)\qquad\text{divide both sides by 25}\\\\\dfrac{(a-b)(25)}{25}=\dfrac{275}{25}\\\\\boxed{a-b=11}$

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3 years ago

5-13) -10-15 what’s the equation for the line that passes through points (5,-3) and (-10,15)

umka2103 [35]

Answer: y=-6/5x+3

Step-by-step explanation:

To find the equation of the line that passes through the points, you want to first find the slope by using the formula $m=\frac{y_2-y_1}{x_2-x_1}$ , then solve for the y-intercept.

$m=\frac{15-(-3)}{-10-5} =\frac{18}{-15} =-\frac{6}{5}$

Now that we have the slope, we can plug in a given point and solve for the y-intercept.

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b=3

Now that we have the y-intercept, we know the equation is y=-6/5x+3.

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3 years ago

The function F(x) = 2x/x+3 is an example of a rational function. True False

PSYCHO15rus [73]

It is true because a rational function is defined as those functions where the variable is placed in the denominator, which must be restricted, because all denominators cannot be equal to zero, other wise it would be undetermined

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Step-by-step explanation:

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