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.