Question

write the linear equation from the given information in slope intercept form passing through (-2,8) and perpendicular to y=2x+5​

Answer 1

y =
`-(1)/(2)` x + 9

Explanation:

Given parameters:

Coordinates = (-2,8)

Equation of the line y = 2x + 5;

Unknown:

Linear equation of a line perpendicular = ?

Solution:

From the given expression, a line perpendicular will have a negative inverse of the slope given.

y = 2x + 5

Equation of a line is y = mx + c;

y and x are the coordinates

m is the slope

c is the intercepts

y = 2x + 5 ;

The slope is 2;

A line perpendicular will have a slope of
`-(1)/(2)`

Since y = 8 and x = -2, let us find c;

8 = 2 x
`-(1)/(2)` + c

8 = -1 + c

c = 8+1 = 9

The equation of the line is;

y =
`-(1)/(2)` x + 9