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1 year ago

X+3y=6 solve slope intercept

Mathematics

1 answer:

vovangra [49]1 year ago

8 0

The equation of the line in the slope-intercept form is y = -1/3(x) + 2.

The slope of the line is -1/3 and the y-intercept is 2

From the question, we are to determine the slope and the intercept of the given equation.

The given equation is

x + 3y = 6

Rewrite the equation in the slope-intercept form of the equation of a line

Rewriting in slope-intercept form

x + 3y = 6

3y = -x + 6

y = -1/3(x) + 2

Compare with the general form of the slope-intercept form of a line

y = mx + b

where m is the slope

and b is the y-intercept

By comparing

m = -1/3

b = 2

Therefore,

Slope, m = -1/3

y-intercept, b = 2

Learn more on Slope-intercept form of a line here: brainly.com/question/1884491

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Which fraction has a numerator of 9 and a denominator of 13?

drek231 [11]

Answer: 9/13

Step-by-step explanation:

the numerator goes on the top

the denominator goes on the bottom

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3 years ago

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the

Anna71 [15]

Given:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.

To find:

The coordinates of the vertices of triangle A’B’C’.

Solution:

If triangle ABC reflected across y-axis, then

$(x,y)\to (-x,y)$

$A(-1,4)\to A_1(1,4)$

$B(-4,1)\to B_1(4,1)$

$C(-1,1)\to C_1(1,1)$

Coordinates of image after reflection across y-axis are $A_1(1,4),B_1(4,1),C_1(1,1).$

Then triangle translated 4 units to the left to form triangle A’B’C’.

$(x,y)\to (x-4,y)$

$A_1(1,4)\to A'(-3,4)$

$B_1(4,1)\to B'(0,1)$

$C_1(1,1)\to C'(-3,1)$

Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).

Hence, the correct option is B.

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3 years ago

Jesse borrowed $350 from his mom to buy an electric scooter, Jesse will pay her

mash [69]

Answer:

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3 years ago

Read 2 more answers

Find the coordinates of the midpoint of the segment given it’s endpoint M(-5, 9) and N(-2, 7)

inessss [21]

Answer:

-7/2 , 8

Step-by-step explanation:

Given, M(-5,9) be x1 , y1

N(-2,7) be x2, y2

Now,

Using mid point formula

x = x1+x2/2 y = y1+y2/2

= -5-2/2 = 9+7/2

= -7/2 = 16/2

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3 years ago

Calculate the volume of each geometric shape:

pav-90 [236]

Answer:

a) 235.62in³

b) 904.78in³

Step-by-step explanation:

a) The formula to find the volume of a cylinder is:

$V = \pi r^2h$

We are given that r = 5 and h = 3, so we can just plug in and solve:

$V = \pi(5)^2(3) = 235.62in^3$

b) The formula to find the volume of a sphere is:

$V = \frac{4}{3}\pi r^3$

We are given that the diameter is 12in, which means that the radius (r) must be 6in (half the diameter). Now, we can plug in and solve:

$V = \frac{4}{3}\pi (6)^3 = 904.78in^3$

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