Answer:
The slope of y = 1 is 0
explanation:
Determining slope has been based on a simple formula, y2-y1 over x2-x1.
It is crucial to follow this formula in order to attain the proper slope.
When a simple expression is given, for instance; y = 1 then it could be divided by 0; thus, resulting in the answer simply being zero.
However, x=1 would contain the slope of undefined because any number divided by zero results in an undefined answer.
Answer: 3A =38+15=43
Step-by-step explanation:
To give you a context on the problem, a tangent line is a line that intersects the parabola only at one single point. A parabola is a curve that forms an arc-shaped figure. A tangent line to a parabola is shown in the attached picture.
Now, we apply the concepts in calculus and analytical geometry. The first derivative of the equation is equal to the slope at the point of intersection. This slope must be equal to the slope of the tangent line.
y = x² - 5x + 7
dy/dx = slope = 2x -5
Since tangent lines must have the same slope with what they intersect with, we can determine the slope from the equation: y = 3x + c. This is already arranged in a slope-intercept form, where 3 is the slope and c is the y-intercept. So, we can equate the equation above to 3.
2x - 5 = 3
x = 4
Now, we substitute x=4 to the original equation of the parabola:
y = (4)² - 5(4) + 7
y = 3
Therefore, the point of intersection is at (4,3). Now, we use it to the equation of the tangent line to find c.
y = 3x + c
3 = 3(4) + c
c = -9
Umm, where's the question?????