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2 years ago

How do you find an equation for a line with a slope of 2/3 passing through (1,-4)

Mathematics

2 answers:

Igoryamba2 years ago

7 0

Answer:

The standard general equation for a straight line is:

y = mx + C. You said the slope of line is 2/3. m is always the slope in this context. So with the numerical value slope we have the line

Y = 2/3 X + C. You also said the line passes through the point (1, -4) that is the X value is 1 and the y value is -4. Substitute these value into the linear equation to find C, as follows

-4 = 2/3 + c. and so C = - 4 - 2/3 = -14/3 and so the equation of line is :

y = 2x/3 + 14/3 or if you like 3y = 2x + 14

It is important to remember that the convention of the bracketted numbers e.g. (1,-4) or ( 1, -4, z), say is that the first number in the brackets indicates the X value, the second the y value and the third, the z value in the case of 3 D coordinates.

mart [117]2 years ago

3 0

*Y=2/3x-6
I believe this is the answer!!! Hope you get a good grade

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2 years ago

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WITCHER [35]

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Step-by-step explanation:

The picture of the question in the attached figure

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we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

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substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

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$P=(6\pi+12\sqrt{2})\ cm$

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Factor 6

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3 years ago

An average of 20 apples were sold from Monday to Friday. After the sales on Saturday and Sunday, the average apples sold per day

avanturin [10]

131 apples were sold on Saturday and Sunday.

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2 years ago

How do you find an equation for a line with a slope of 2/3 passing through (1,-4)​

How do you find an equation for a line with a slope of 2/3 passing through (1,-4)