Question

A line through (2, 15) and (6, 7)​

Answer 1

Answer:

y = -2x + 19

Step-by-step explanation:

Let the equation of the line is y = mx + b

Here, m = slope of the line

          b = y - intercept

slope of a line passing through (x₁, y₁) and (x₂, y₂) is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

slope of line passing through (2, 15) and (6, 7) will be

$m=\frac{15-7}{2-6}$

    = (-2)

Equation of the line will be,

   y = -2x + b

Since line passes through point (2, 15)

15 = -2 (2) + b

b = 15 + 4

b = 19

Therefore, equation will be,

y = -2x + 19