Question

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?

Ο y =- 5/2x-1
O y= - 5/2x+5
Ο y=2/5x-1
O y= 2/5x + 5

Answer 1

Since it is parallel, the slopes are equal.

The equation of required line is:

`5x+2y=c`

where, $c$ is some constant we have to determine using additional conditions.

The condition is that the line passes through $(-2,4)$

Put (-2,4) in our equation.

$5(-2)+2(4)=c=(-10)+8=-2$

Hence, $c=-2$

The final equation is: $\boxed{5x+2y=-2}$

Convert this to the form in the options.

Answer is y=-5/2 x-1