Question

Write the equation of the line through the points (4, 5) and (12, 9)

Answer 1

Answer:

y = 1/2x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 5 / 12 - 4 = 4/8 = 1/2

y = mx+b

slope/m = 1/2

y = 1/2x + b

5 = 1/2(4) + b

5 = 2 + b

3 = b

y = 1/2x + 3

Answer 2

The equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

From the question,

We are to determine the equation of the line passing through the points (4, 5) and (12, 9)

Using the formula,

$\frac{y-y_{1} }{x-x_{1}} = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

From the given information

x₁ = 4

y₁ = 5

x₂ = 12

y₂ = 9

Putting the parameters into the formula, we get

$\frac{y-5}{x-4} =\frac{9-5}{12-4}$

Then,

$\frac{y-5}{x-4} =\frac{4}{8}$

$\frac{y-5}{x-4} =\frac{1}{2}$

Then,

$x - 4 = 2(y-5)$

$x - 4 = 2y-10$

$x -2y = -10 + 4$

$x -2y = -6$

Hence, the equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

Learn more on determining the equation of a line here: https://brainly.com/question/18035751