Question

4. Line G: 3x + 2y=10Line H: y= -3/2x - 5

Answer 1

Step-by-step explanation:

If Lines G and H are perpendicular to each other then the slope of one must be negative reciprocals of the slope of the other.

In other words,

The slope of line H = -1 / slope of line G.

Now, what is the slope of line G?

To find out, we first have to write the line in slope-intercept form ( y = mx + b).

Now, subtracting 3x from both sides of the equation gives

`3x+2y-3x=10-3x`
`2y=10-3x`

dividing both sides by 2 gives

`y=(10-3x)/(2)`
`y=5-(3)/(2)x`

This tells us that the slope of line G is -3/2 x.