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3 years ago

Write the equation in standard form y-4= -3(x-3)

Mathematics

2 answers:

Lisa [10]3 years ago

6 0

Answer:

3x+y=13

Step-by-step explanation:

Standard form of equation is:

Ax+By=C where x and y are variables and A,B and C are constants.

Given equation is:

y-4=-3(x-3)

we have to make given equation in standard form.

simplifying given equation,we get

y-4=-3(x-3)

y-4=-3x+9

adding 4 to both sides of above equation,we get

y-4+4=-3x+9+4

y+0=-3x+13

y=-3x+13

adding 3x to both sides of above equation,we get

3x+y=3x-3x+13

3x+y=0+13

3x+y=13 is standard form of given equation where A=3,B=1 and C=13.

Crazy boy [7]3 years ago

3 0

Y - 4 = -3x + 9

y = -3x + 13

standard form: 3x + y = 13

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Read 2 more answers

Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

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2 years ago

True or false. y +2<8; y = 3

Evgesh-ka [11]

Answer:

false

Step-by-step explanation:

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3 years ago

A square is cut from a rectangle. The side length of the square is half of the unknown width w. The area of the shaded region is

Virty [35]

Answer:

See below

Step-by-step explanation:

The side of the square is w/2, then its area is:

A = (w/2)² = w²/4

The shaded area is the difference of areas of the rectangle and the square:

14w - w²/4 = 84

This can be simplified:

56w - w² = 336
w² - 56w + 336 = 0

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3 years ago