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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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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

x is equal to positive 5/6 and negative 5/6

Step-by-step explanation:

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3 years ago

ANSWER ASAP

Brums [2.3K]

Answer:

y = 2x + 3
y = -6x
y = -x + 2
y = 2x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Hint. if we have x = 0, then the y-coordinate is the same as b

Slope

m = (y2 - y1)/(x2-x1)

33.

m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
b = 3 as per table (0, 3)

y = 2x + 3

34.

m = (0-12)/(0 - (-2)) = -12/2 = -6
b = 0, as per table (0, 0)

y = -6x

35.

m = (2 - (-2))/(0 - 4) = 4/-4 = -1
b = 2, as per table (0, 2)

y = -x + 2

36.

m = (-5 - (-1))/ (1 -3) = -4/-2 = 2

Using point (3, -1)

-1 = 2*3 + b
b= -1 - 6= - 7

y = 2x - 7

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3 years ago