Answer:
The equation of line d is [tex]y + 8 = 6(x + 3)[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which the slope is m and the point is [tex](x_0,y_0)[/tex]
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to y=-1/6x+5
Slope of - 1/6, so:
[tex]-\frac{1}{6}m = -1[/tex]
[tex]m = 6[/tex]
So
[tex]y - y_0 = 6(x - x_0)[/tex]
Passes through the point (-3,-8).
This means that [tex]x_0 = -3, y_0 = -8[/tex]. So
[tex]y - y_0 = 6(x - x_0)[/tex]
[tex]y - (-8) = 6(x - (-3))[/tex]
[tex]y + 8 = 6(x + 3)[/tex]
