Answer:
Option D
Step-by-step explanation:
Let the equation of the line given in the graph is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
From the graph attached,
y-intercept = 4
Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-2, 8) and (5, -6) will be,
m = [tex]\frac{8-(-6)}{-2-5}[/tex]
m = [tex]-\frac{14}{7}[/tex]
m = -2
Therefore, equation of the line will be,
y = -2x + 4
Equations given in the options A, B, and C are not matching with our equation.
Simplify the equation given in Option D,
y = -2(x - 5) -6
y = -2x + 10 - 6
y = -2x + 4
Therefore, Option D is the answer.
