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2 years ago

if the output and input of a linear equation are proportional, whare will the graph of the equation cross the x axis

Mathematics

1 answer:

sineoko [7]2 years ago

5 0

Answer:

at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

y = kx

The equation of a straight line is ...

y = kx +b . . . . . for some y-intercept b

<h3>Comparison to general line</h3>

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

Additional comment

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

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3 years ago

8. f(n) = f(n-1) + 1; f(1) = win

DanielleElmas [232]

Answer:

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Step-by-step explanation:

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3 years ago

Write the point slope form of the equation of the line through the given points.

oee [108]

Answer:

$\displaystyle y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5$

Step-by-step explanation:

First, find the rate of change [slope]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \frac{3 + 3}{-5 ± 0} = -\frac{6}{5} = -\frac{1}{5}$

Then plug these coordinates into the Point-Slope Formula Remember, in this formula, all the negative symbols give the OPPOSITE terms of what they really, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS. It does not matter which ordered pair you choose:

$\displaystyle y - y_1 = m[x - x_1] \\ \\ y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5$

I am joyous to assist you anytime.

5 0

3 years ago

HELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPP!!! 98POINTS

Mnenie [13.5K]

Answer:

$1699.25

Step-by-step explanation:

Data:

Cost = $314 000

Down payment = 18 %

Term = 20 yr

i = 5 %/yr

Calculations:

(a) Down payment

Down payment = 314 000 × 0.18

= $56 520

(b) Amount financed

Cost = $314 000

-Down payment = 56 520

Financed = $257 480

(c) Monthly payments

The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate of i % is

$P = A(\frac{i}{1-(1+i)^{-n}})$

We must express the interest rate on a monthly basis.

I = 5 %/yr = 0.41 667 %/mo = 0.004 1667

n = 2 × 12 = 240 mo

$P = 257 480(\frac{0.004 1667}{1 - (1+0.004 1667)^{-240}})$

$P = \frac{1072.83}{1- (1.004 1667)^{-240}}$

$P = \frac{1072.83}{1 - 0.368 645}$

$P = \frac{1072.83}{0.631 355}$

P = $1699.25

Carlos' monthly mortgage payment will be $1699.25.

8 0

2 years ago

Write an equation of the line that passes through the given point and is perpendicular to the given line.

Montano1993 [528]

Perpendicular = opposite sign and reciprocal slope
Slope would be negative and reciprocal of 1/3, slope = -3
Plug into y = mx + b
y = -3x + b, plug in point
-4 = -3(-6) + b, b = -22
Solution: y = -3x - 22

6 0

3 years ago