Question

In the XY coordinate plane shown below point P has coordinate 8-6 which of the following is an equation of the line coordinate points 0 and P

Answer 1

3x + 4y = 0

Explanation:

To find the equation of the line passing through the points (0,0) and P(8,-6), we need to determine the slope of the line and the y-intercept.

The slope of the line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (0, 0) and (x2, y2) = (8, -6)

m = (-6 - 0) / (8 - 0) = -6/8 = -3/4

The y-intercept can be found by substituting the coordinates of P into the equation y = mx + b and solving for b:

-6 = (-3/4)(8) + b

b = -6 + 6 = 0

Therefore, the equation of the line passing through the points (0,0) and P(8,-6) is:

y = -3/4 x + 0

or

4y = -3x

or

3x + 4y = 0

So the answer is 3x + 4y = 0.

Hope this helps!