![Bassoonist](/avatars/31171.jpg)
Bassoonist
21.01.2021 •
Mathematics
What is the equation in slope-intercept form of the linear function represented by the table?
Х
y
-5
14
-2
11
1
8
4
5
Solved
Show answers
More tips
Answers on questions: Mathematics
- M Mathematics The law of cosines is used to find the measure of z. 162 = 182 + 192 – 2(18)(19)cos(z) 256 = 324 + 361 – (684)cos(z) 256 = 685 – (684)cos(z) –429 = –(684)cos(z) to the nearest whole...
- M Mathematics I need help with this question...
- M Mathematics 8+3x2÷2=anyone know me?...
- M Mathematics May 28, 3:14:08 AM Find the circumference. Use 3.14 for I and round your answer to nearest tenth. 8.4ft Submit Answer...
- M Mathematics 3 is the termconstant or variable ...
- M Mathematics 3 is the termconstant or variable ...
- M Mathematics 1. EXERCISE 1.5Find the determinant of the following matrices.-1-1 1(i) A=2 0(ii) B =1 32 -2)(iii) C=3 23 2(iv) D=3 21 4...
- M Mathematics Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16t^2+96t gives the height, in feet, of the soccer ball...
- M Mathematics How to solve this 6x+4y=30 5x-2y=1...
- M Mathematics What is 2 x (18 x 2)?...
Ответ:
y = -x + 9
Step-by-step explanation:
You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.
Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this:
.
i.e. (-2,11) and (4,5):
which is
, or -1. Thus, the slope is -1.
We now have y = -1(x) + b, or just y = -x + b.
Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.
i.e. (-5,14): 14 = (-1)(-5) + b
14 = 5 + b
14 - 5 = 5 + b - 5
9 = b
So, the y-intercept is (0,9).
Finally, the equation is:
y = -x + 9
Ответ: