Question

Write an equation in slope intercept form for
the given slope.
(5,9).(6,8)

Answer 1

The equation in slope intercept form for (5,9) and (6,8) is y = 3x-10

Solution:

Given that (5,9) and (6,8)

Here,
`x_(1)=5 ; y_(1)=5 ; x_(2)=6 ; y_(2)=8`

We know the slope of an equation is given by y = mx+c

To find the value of m, we use the below given formula

`\mathrm{m}=(y_(2)-y_(1))/(x_(2)-x_(1))`

Substituting the values we get,

`\mathrm{m}=(8-5)/(6-5)`

`m = (3)/(1)`

m = 3

Putting the value of m in the slope intercept form we get,

y = 3x+c

To find the value of c, we substitute the value of x and y from any two given point. Let’s take x = 5 and y = 5

5 = 3(5) + c

5 = 15 +c

5-15 = c

c = -10

Therefore the slope intercept equation becomes y = 3x -10