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
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
slope of line passing through (2, 15) and (6, 7) will be
[tex]m=\frac{15-7}{2-6}[/tex]
= (-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
