Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

1 answer:

5 0

Slope = (y₂- y₁) / (x₂- x₁)

Points C( 3, -5) and D (6, 0) compare to (x₁, y₁) and (x₂, y₂)

Slope = (0 - -5) / (6- 3) = (0+5) / (3) = 5/3

Slope = 5/3

Equation of line given a slope and point, y - y₁ = m(x - x₁)

m = 5/3,    let point C( 3, -5) = (x₁, y₁)

y - - 5 = (5/3) (x - 3)

y + 5 = (5/3)(x - 3)

   3(y + 5) = 5(x - 3)

3y + 15 = 5x - 15

   3y = 5x - 15 - 15

   3y = 5x - 30

Hence the equation of the line is 3y = 5x - 30

You might be interested in

Plz help I need help on 14, 15, 16

IrinaVladis [17]

14. 6.4 blocks

15. 1.78

16. 7.47

4 0

2 years ago

Please help with math

jeka94

What would you need help with?

4 0

2 years ago

If a candy machine contains 76 green candies, 42 orange candies, 58 red

sergiy2304 [10]

Answer:

P(candy chosen is red) = 58/200

Step-by-step explanation:

6 0

3 years ago

A cone and a triangular pyramid have a height of 9.3 m

Otrada [13]

Answer:

$x=17.1\ in$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in

What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth

The picture of the question in the attached figure

we know that

If their cross-sectional areas are equal at every level parallel to their respective bases and the height is the same, then their volumes are equal

Equate the volume of the cone and the volume of the triangular pyramid

$\frac{1}{3}\pi r^{2}H=\frac{1}{3}[\frac{1}{2}(b)(h)H]$