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

Answer:

Step-by-step explanation:

DDD

Answer 2

Answer:

$\large\boxed{y=\dfrac{1}{4}x+2}$

Step-by-step 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:

$y-4=\dfrac{1}{4}(x-8)\to m=\dfrac{1}{4}$

and the point (0, 2) → b = 2.

Substitute:

$y=\dfrac{1}{4}x+2$