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OlgaM077 [116]
3 years ago
9

Find the x and y intercepts for 3x+4y-12=0

Mathematics
2 answers:
Leona [35]3 years ago
8 0
For any equation:
To find the x-intercepts: set y=0 and solve for x.
To find the y-intercepts: set x=0 and solve for y.

In your equation:
x-int: y=0
3x + 4(0) = 12
3x = 12 divide both sides by 3
x = 4
x-int: (4,0)

y-int: x=0
3(0) + 4y = 12
4y = 12 divide both sides by 4
y =3
y-int: (0,3)
Evgen [1.6K]3 years ago
3 0

Answer:

y=4/9

x=3/8

Step-by-step explanation:

if x=0

then:

3+4y-12=0

3+4y=12

4y=9

<em><u>y=4/9</u></em>

now if y=0

then:

3x+4-12=0

3x+4=12

3x=8

<em><u>x=3/8</u></em>

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What is the X-in intercept of the line 6x + y = 18
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\boxed{x=3}

Step-by-step explanation:

The Standard Form of the equation of line is given by:

Ax+Bx=C \\ \\ For \ A, \ B, \ C\ Real \ Constant \\ and \ A>0

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6x+y=18 \\ \\ is \ written \ in \ standard \ form

The x-intercept can be found setting y=0:

6x+(0)=18 \\ \\ Isolating \ x: \\ \\ 6x=18 \\ \\ \boxed{x=3}

<h2>Learn more:</h2>

Parabola: brainly.com/question/10605728

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6 0
3 years ago
find the equation of the perpendicular bisector of the line segment joining the points (3,8) and (-5,6).​
IgorLugansk [536]

Answer:

y = - 4x + 3

Step-by-step explanation:

The perpendicular bisector is positioned at the midpoint of AB at right angles.

We require to find the midpoint and slope m of AB

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(3, 8) and (x₂, y₂ ) = B(- 5, 6)

m = \frac{6-8}{-5-3} = \frac{-2}{-8} = \frac{1}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{4} } = - 4

mid point  = [0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Using the coordinates of A and B, then

midpoint AB = [0.5(3 - 5), 0.5(8 + 6) ] = (- 1, 7 )

Equation of perpendicular in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

with m = - 4

y = - 4x + c ← is the partial equation

To find c substitute (- 1, 7) into the partial equation

Using (- 1, 7), then

7 = 4 + c ⇒ c = 7 - 4 = 3

y = - 4x + 3 ← equation of perpendicular bisector

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3 years ago
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