Question

the point slope form of the equation of a line that passes through (8,4) and (0,2) is y-4=1/4(×-8) what is the slope intercept form of the equation for this line. ​

Answer 1

Explanation:

DDD

Answer 2

`\large\boxed{y=(1)/(4)x+2}`

Explanation:

The slope-intercept form of the equation of a line:

`y=mx+b`

m - slope

b - y-intercept → (0, b)

The point-slope form of the equation of a line:

`y-y_1=m(x-x_1)`

m - slope

(x₁, y₁) - point

We have the equation of a line:

`y-4=(1)/(4)(x-8)\to m=(1)/(4)`

and the point (0, 2) → b = 2.

Substitute:

`y=(1)/(4)x+2`