The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q is the point (x, 3/(7

Slope of the line

Step-by-step explanation:

Given that,

The point lies on the curve .

If is the point lies on .

To find:- Find the slope of line .

So,  

The coordinates of point when it lies on

        if then

       So,   ≡ and many points can be calculated by given Equation.

Using the formula when two points .

Then, substituting the coordinates we get,

                ⇒  

Therefore,

Slope of the line

x + y = 2

Step-by-step explanation:

First we need to find the equation of the line that Street 1 forms. Using your information about the coordinate grid, Street 1 would be a line that touches both (-5, 6) and (3, -2). You can draw a line connecting both of those points on a graph if you wish.

To find the equation of the line in standard form of Street 2, we need to have the slope of Street 1 since we are already given a point that Street 2 crosses.

Finding the slope of Street 1 will just require the slope formula:

Plug the correct points into this formula.

The slope of Street 1 is -1.

Since Street 2 will be parallel to Street 1, they must have the same slope. So far we have the slope and a point that Street 2 passes, so we can use the point-slope form formula because we have what's in its name (a point and a slope).

point-slope formula:

Plug the appropriate numbers into this formula.

Simplify this equation by removing the parentheses.

Distribute -1 inside the parentheses.

The question wants the answer in standard form (ax + by = c). Make the x term in the front, then the y term after that, and these will be equal to c, the constant (no variable).

To get x to the left side, add x to both sides of the equation.

Add 4 to both sides of the equation.

This is the final answer in standard form, and it fits with the last answer choice.