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

Answer 1

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept (where the line crosses the y axis)

To find the slope, divide the difference between the y values by the difference between the x values.
(10-8)/(1-5)
2/-4
-1/2 <---this is the slope, or m

Plug the slope in for m: y=-0.5x+b
Use one of your points (5,8) and plug the x and y values in to get b.
8=-0.5(5)+b
8=-2.5+b
10.5=b <--- this is your y intercept or b

now you have all the components to write the equation
y=-0.5x+10.5

Answer 2

Slope intercept form is y=mx+b where m is the slope of the line and b is where the line hits the y-axis.
To find the slope use:
y2-y1/x2-x1 where (x1,y1) and (x2,y2)
8-10/5-1
-2/4
Slope = -1/2

To find the y-intercept or b pick either point and substitute the x and y values into the slope intercept form.
(10)=(-1/2)(1)+b
10+1/2=b
b=21/2

Final answer: y=-1/2x+21/2

Answer 3

OK, first find the slope. remember, m=(y2-y1)/(x2-x1)
So, y2 is 8 and y1 is 10, so y2-y1=8-10=-2
x2 is 5 and x1 is 1, so x2-x1 is 4. SO., m=-2/4=-1/2

now, choose either point.

we want the form y=mx+b let's plug in the first point given
y is 10, x is 1. SO we get 10=-(1/2)(1)+b
or 10=-1/2 +b
move the -1/2 (so add 1/2 to both sides of the equation)
and yuou get 10+1/2=b or b=(21)/(2) .....or 10.5
So, the slope intercept form will be

y=-(1/2)x+21/2 (OR y=-0.5x+10.5 I prefer fraction form, but decimal is easier to type)

Answer 4

y=10 + - 2/4(x-1)

Answer 5

use the equation:

( y2 - y1 ) = m ( x2 - x1 )

(y-10) = [ ( 10 - 8 ) / ( 1 - 5 ) ] ( x - 1 )

solve for y

y - 10 = -1/2x + 1/2

y = -1/2 x + 21/2

Answer 6

m = - 2 / 4 = - 1 / 2
y - 8 = (- 1/2).(x - 5)
y = (-1/2).x + 5/2 + 8
y = (-1/2).x + 21/2

Answer 7

Linear Math SUCKS!!!!
Ans>

use Y=Mx+b

and plot (1,10) and (5,8)

Y= -2/4x+11