Answer:
y = (-7/2)x - 2
Explanation:
Equation of a line:
The equation of a line is given by:
y = mx + b
In which m is the slope and b is the intercept.
We want the equation of a line perpendicular to y = (2/7)x - 4.
This slope is 2/7.
When two lines are perpendicular, the multiplication of their slopes is -1.
We want to find m. So
(2/7)*m = -1
2m = -7
m = (-7/2)
So
y = (-7/2)x + b
Through the point (-2,5):
This means that when x = -2, y = 5. So
y = (-7/2)x + b
5 = (-7/2)*(-2) + b
7 + b = 5
b = 5 - 7
b = -2
So, the equation is:
y = (-7/2)x - 2