All categories

3 years ago

Question 3 Find the equation of the line joining (-2,4) and (3,7)

Mathematics

1 answer:

otez555 [7]3 years ago

7 0

Answer:

y = (3/5)x+26/5 or 5y = 3x+26

Step-by-step explanation:

Applying,

The equation of a line in two point form

(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1

From the question,

Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2

Substitute these values into equation 1

(7-4)/[3-(-2)] = (y-4)/(x+2)

3/5 = (y-4)/(x+2)

5(y-4) = 3(x+2)

5y-20 = 3x+6

5y = 3x+6+20

5y = 3x+26

y = (3/5)x+26/5

Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26

You might be interested in

Select the two values of x that are roots of this equation 3x^2 + 1 =5x

Zina [86]

Answer:

x = 1.434 and x=0.232

Step-by-step explanation:

To find the root of the equation stated above we need to:

(1) Write the polynomial equation with zero on the right hand side:

$3x^{2} + 1 = 5x$ ⇒ $3x^{2} -5x + 1 = 0$

(2) Divide the whole equation by 3

$3x^{2} -5x + 1 = 0$ ⇒ $x^{2} -\frac{5}{3}x + \frac{1}{3}= 0$

(3) Use the quadratic formula to solve the quadratic equation:

The quadratic formula states that the two solutions for a quadratic equation is given by:

$\frac{-b±\sqrt{b^{2} - 4ac}}{2a}$ (1)

In this case, a = 1, b = $-\frac{5}{3}, c= \frac{1}{3}$

Substituiting a, b and c in equation (1) We get:

$\frac{-\frac{5}{3}±\sqrt{(-\frac{5}{3})^{2} - 4(1)(\frac{1}{3})}}{2(1)}$ (1)

The two solutions are:

x = 1.434 and x=0.232

8 0

3 years ago

Please help me to solve this problem<br>

faust18 [17]

Answer:

$\sqrt{3} + \frac{5\sqrt{3} }{6}$

Step-by-step explanation:

tan(30°) = $\frac{\sqrt{3}}{3}$

cot(30°) = $\sqrt{3}$

sin(60°) = $\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3} }{3} +\sqrt{3} +\frac{\sqrt{3}}{2} = \sqrt{3} +\frac{5\sqrt{3} }{6}$

3 0

3 years ago

Read 2 more answers

Okay so, “Lynn multiplied a number by 8, and then subtracted 35 from the product. The result was 21. Write an equation to find t

Serhud [2]

............................................................................

7 0

3 years ago

A ramp into a building forms an 8° angle with the ground. If the entry point of the ramp is 7 feet from the building, how many f

frosja888 [35]

Answer: The correct answer is A) 0.98 feet

Step-by-step explanation: I took the test and got it correct.

8 0

3 years ago

Could use some help with this math xl problem

noname [10]

Make the picture bigger, can barely see it

8 0

2 years ago