Question

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

Answer 1

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, $x_{1}=5 ; y_{1}=5 ; x_{2}=6 ; y_{2}=8$

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

$\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the values we get,

$\mathrm{m}=\frac{8-5}{6-5}$

$m = \frac{3}{1}$

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