The Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The graph provided suggests the use of the points (3,-3) and (5,-3). The slope is:
The slope of the line is 0. It corresponds to a horizontal line
Answer:
(5, - 4)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
x² - 10x + 21 ← is in standard form
with a = 1, b = - 10, so
= -
= 5
Substitute x = 5 into the quadratic for the corresponding value of y
y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4
vertex = (5, - 4)