Answer:
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, [tex]x_{1}=5 ; y_{1}=5 ; x_{2}=6 ; y_{2}=8[/tex]
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
[tex]\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Substituting the values we get,
[tex]\mathrm{m}=\frac{8-5}{6-5}[/tex]
[tex]m = \frac{3}{1}[/tex]
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
