Complete the point-slope equation of the line through (6,4)and (7,2)

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

6 0

The slope would be -2

kotykmax [81]3 years ago

3 0

The slope is the change in y over the change in x, so it's (4-2)/(6-7)=2/-1=-2. Point slope form is y – y1 = m(x – x1), so we can plug in a point (6,4) to get
y-6=-2(x-4)

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use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?

daser333 [38]

The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.

The graph is attached below.

We are given a quadratic function.
A polynomial equation of degree two in one variable is a quadratic equation.
The function given to us is :
y = x² - 5x - 36
We need to find the solution of the quadratic function.
To find the roots, let y = 0.
x² - 5x - 36 = 0
Use the quadratic formula.
In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
x = [-b±√b²-4ac]/2a
x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
x = (5 ± √25 + 144)/2
x = (5 ± √169)/2
x = (5 ± 13)/2
x = 9 or x = -4