find the interceps of the line given the equation 2x+4y+8=0.pasagutan lang po sa lahat ng nakakita .thank you. Created by lenovoorco2016. Math

find the interceps of the line given the equation 2x+4y+8=0.pasagutan lang po sa...

Verified answer

$\large{\mathcal{QUESTION:}}$

find the intercepts of the line given the equation 2x+4y+8=0.

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$\large{\mathcal{SOLUTION:}}$

There are 2 intercepts of the equations. The x and y intercepts. To find the x intercept , substitute the value of y to zero. And to find the y intercept , substitute the value of x to zero.

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Finding x-intercept: (substitute y=0)

2x+4y+8=0
2x+4(0)+8=0
2x+0+8=0
2x+8=0
2x = -8
x = -8/2
x = -4

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Finding y-intercept: (substitute x=0)

2x+4y+8=0
2(0)+4y+8=0
0+4y+8=0
4y+8=0
4y = 8
y = 8/4
y = 2

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Conclusion: The x-intercept is -4 and y-intercept is 2

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$\large{\mathcal{ANSWER:}}$

The x-intercept is -4 and y-intercept is 2

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$answer$

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In geometrical methamatics, a line is one-dimensional, straight geometry having an infinite number of points and these points do not have any bend.

A line geometry is represented as accoridng to the linear equation ax + by + c = 0 where a , b , and c are the constants and x and y are the variable's

A-line cutting standard x-axis and y-axis have two intersection points with the standard axis and the length of that point from the origin is the lengths of intercepts.

For calculating the length of x-intercept, the value of the y-coordinate must be equal to zero.

For calculating the length of y-intercept, the value of the x-coordinate must be equal to zero.

The interpcepts of ax + by + c = 0 can be

computed as -

then put y = 0

$ax + b(0) + c = 0 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ax = - c \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = - c \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a$

for y-intercept put x=0-

$a(0) + by + c = 0 - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:by = - c \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = - c \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: b$