Question

(3,10) and (6,12) put in slope intercept form

Answer 1

the slope-intercept form is:

`y=mx+b`

Where m is the slope

b is the y-intercept

The rule to find the slope is:

`m=(y_2-y_1)/(x_2-x_1)`

The points (3, 10) and (6, 12) are on the line, so let us use them

x1 = 3, x2 = 6

y1 = 10, y2 = 12

let us substitute them in the rule of m

`m=(12-10)/(6-3)=(2)/(3)`

Substitute m in the form of the equation

`y=(2)/(3)x+b`

To find b substitute x and y by the coordinates of any given point

let x = 3 and y = 10 (1st point)

`\begin{gathered} 10=(2)/(3)(3)+b \\ 10=2+b \\ 10-2=2-2+b \\ 8=b \end{gathered}`

The value of b is 8, substitute it in the equation

`y=(2)/(3)x+8`

This is the slope-intercept form of the line passes through the given points