If you are writing in slope-intercept form:
You first find the slope.
Put the slope in the equation.
Substitute any point into the equation and find the y-intercept.
The value of 
such that the line 
is tangent to the parabola 
is 
.
If is a line <em>tangent</em> to the parabola , then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:
(1)
Then, we have the following system of equations:
(1)
(2)
(3)
Whose solution is shown below:
By (3):
(3) in (2):
(4)
(4) in (1):
The value of such that the line is tangent to the parabola is .
We kindly invite to check this question on tangent lines: brainly.com/question/13424370
Answer:
4
Step-by-step explanation:
The slope is 0!! any horizontal line, like y = 1, y = 2, y = any other number, has a slope of 0. because it's a horizontal line, it's flat, so there isn't any incline or decline. just as a note: vertical lines (x = 1, etc.) have an undefined slope.
