Write an equation in slope-intercept form for the line (-1,10) and (5,8). ?

Question

Write an equation in slope-intercept form for the line (-1,10) and (5,8).

A. y = 1/3x + 29/3
B. y = -1/3x + 29/3
C. y = 1/3x - 29/3
D. y = -1/3x - 29/3

please help, and this is only for extra credit, please explain so i can study your answer

thanks=)

Answer 1

gradient of (-1,10) and (5,8).
dy/dx = ( 8 - 10) / (5- -1)
= -2/6
= -1/3

let m=-1/3 , y=10 and x=-1
Y= mX +C
10 = -1/3(-1) + C
C = 29/3

:> Y = -1/3x + 29/3
Ans B

Answer 2

properly, at the start, you ought to locate the slope. The equation to locate the slope is, Y - y/ X - x (sorry, can't do it appropriate on laptop.) (or Y1 - Y2/ X1 - X2) So. you get the Y's in the two factors that are 5 and a million. and the X's that are 3, and -2. enable's say ingredient (3,5) are the capital letters (shown above) and ingredient (-2, a million) are the decrease case letters. The equation would finally end up being 5 - a million/ 3 - (-2) 5 - a million = 4 3 - (-2) = 5 Now your slope is 4/5. Slope intercept style is y=mx + b. M is the slope so it would be y=4/5x + b. Now to locate b. Get between the factors, (shall we are saying (3, 5) and plug it into the equation (y=4/5x + b) So, 5 = 4/5 * 3 + b. 4/5 * 3 = 12/5. 5 = 12/5 + b. Minus 12/5 on the two facets. 13/5 = b So b equals 13/5. Now you have the slope and b. and you merely placed those into slope intercept style. answer: y = 4/5x + 13/5

Answer 3

slope is the change in y divided by the change in x

10 is a y value, and
8 is a y value
so the change is 10 - 8 = 2

-1 is an x value, and
5 is an x value
so the change is - 1 - 5 = -6

so slope is -2/6 = -1/3
which rules out A and C

point-slope form is
(y1 - y) = m(x1 - x)
(8 - y) = (-1/3)(5 - x)
8 - y = -5/3 + 1/3 x
- y = 1/3 x - 5/3 - 24/3
- y = 1/3 x - 29/3
y = -1/3 x + 29/3

B

Answer 4

the answer is D. y=-1/2x-28/3

slope intercept form is y=mx+b, where m=slope, and b=y intercept.

to find the slope using two points use the formula:
(y2-y1)/(x2-x1), replace the y and x with the coordinates
(8-10)/(5+1)
=-2/6
=-1/3

now the equation is y=-1/3x+b

if the answer for b is either -7 or 7, draw a sketch of the graph plotting the two points (-1,10) and (5,8), it will be easy to tell if it's 7 or -7.

Answer 5

the line (-1,10) and (5,8)
(y - 8)/(x - 5) = (8 - 10)/(5 - -1))
(y - 8) / (x - 5) = -2/6)
y - 8 = (-1/3)(x - 5)
y - 8 = (-1/3)x + (5/3)
y = (-1/3)x + (5/3) + 8
y = (-1/3)x + 5/3 + 24/3
y = (-1/3)x + 29/3

Answer 6

y = -1/3x + 29/3